Curriculum Vitae
Publications
Research
Teaching
PD Dr. Patrick Winkert

Technische Universität Berlin
Institut für Mathematik
Sekretariat MA 5-3
Straße des 17. Juni 136
10623 Berlin, Germany

fon +49 - 30 - 314 - 2 39 74
fax +49 - 30 - 314 - 2 89 67

mail-button winkert@math.tu-berlin.de

Curriculum Vitae
Personal Data

Name:Patrick Winkert

Date of Birth:April 0010, 3675 (octal numeral system)

Place of Birth:Halle (Saale), Germany

Nationality:German

Education

2015Habilitation in Mathematics (postdoctoral qualification, Dr.rer.nat.habil.), Thesis: 'Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities', Technische Universität Berlin, Berlin, Germany

2009Ph.D. in Mathematics (Dr.rer.nat.), Thesis: 'Comparison principles and multiple solutions for nonlinear elliptic problems'
(Supervisor: Prof. Dr. Siegfried Carl), Martin-Luther-Universität Halle-Wittenberg, Halle, Germany


2006Master in Mathematics (Diploma in Mathematics), Thesis: 'T-symmetrische Tensor-Differentialformen mit logarithmischen Polen'
(Supervisior: Prof. Dr. Klaus Peter Brückmann), Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

Employment

Fall 2017Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

Spring 2017Guest Professor 'Applied Analysis', Humboldt-Universität zu Berlin, Berlin, Germany

Fall 2016Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

Spring 2016Substitute Professor 'Applied Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

2016 – presentPrivatdozent at Technische Universität Berlin, Berlin, Germany

2009 – presentResearch Assistant at the Institue of Mathematics, Technische Universität Berlin, Berlin, Germany

2008 – 2009Research assistant at the Institute of Mathematics, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

2006 – 2008Ph.D. student at the Institute of Mathematics, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Honors and Awards

2007Promotion price, awarded by the Georg Cantor Society for the diploma (master) in mathematics

2006 – 2008Graduate scholarship assigned by the federal state Sachsen-Anhalt

2006Award of the German Mathematical Society for course achievement

2003Awarded by the German Mathematical Society for the intermediate diploma in mathematics

Publications
Monographs
01
N. S. Papageorgiou, P. Winkert
 
Applied Nonlinear Functional Analysis. An Introduction
 
De Gruyter, Berlin, 2018, x+612 pp.
 
De Gruyter Amazon.de
Refereed Articles
31
N. S. Papageorgiou, P. Winkert
 
Solutions with sign information for nonlinear nonhomogeneous problems
 
Math. Z., to appear
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
Singular p-Laplacian equations with superlinear perturbation
 
J. Differential Equations, to appear
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
Double resonance for Robin problems with indefinite and unbounded potential
 
Discrete Contin. Dyn. Syst. Ser. S 11, (2018), no. 2, 323–344
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
Asymmetric $(p,2)$-equations, superlinear at $+\infty$, resonant at $-\infty$
 
Bull. Sci. Math. 141 (2017), no. 5, 443–488
 
Preprint Journal
S. El Manouni, H. Hajaiej, P. Winkert
 
Bounded solutions to nonlinear problems in $\R^N$ involving the fractional Laplacian depending on parameters
 
Minimax Theory and Its Applications 2 (2017), no. 2, 265–283
 
Preprint Journal arXiv
N. S. Papageorgiou, P. Winkert
 
Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities
 
Positivity 20 (2016), no. 4, 945–979
 
Preprint Journal
P. Winkert, R. Zacher
 
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
 
Nonlinear Anal. 145 (2016), 1–23
 
Preprint Journal arXiv
N. S. Papageorgiou, P. Winkert
 
Nonlinear Robin problems with a reaction of arbitrary growth
 
Ann. Mat. Pura Appl. (4) 195 (2016), no. 4, 1207–1235
 
Preprint Journal
G. Bonanno, G. D'Aguì, P. Winkert
 
Sturm-Liouville equations involving discontinuous nonlinearities
 
Minimax Theory and Its Applications 1 (2016), no. 1, 125–143
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
Nonlinear nonhomogeneous Dirichlet equations with a superlinear nonlinearity
 
Results Math. 70 (2016), no. 1, 31–79
 
Preprint Journal
P. Winkert, R. Zacher
 
Corrigendum to "A priori bounds for weak solutions to elliptic equations with nonstandard growth"
[Discrete Contin. Dyn. Syst. Ser. S 5 (2012), 865–878.]
 
Discrete Contin. Dyn. Syst. Ser. S, published on-line as note, 2015, 1–3.
 
Preprint Journal arXiv
S. El Manouni, N. S. Papageorgiou, P. Winkert
 
Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator
 
Monatsh. Math. 177 (2015), no. 2, 203–233
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
Resonant (p,2)-equations with concave terms
 
Appl. Anal. 94 (2015), no. 2, 342–360
 
Preprint Journal
P. Winkert
 
On the boundedness of solutions to elliptic variational inequalities
 
Set-Valued Var. Anal. 22 (2014), no. 4, 763–781
 
Preprint Journal
G. Bonanno, P. Winkert
 
Multiplicity results to a class of variational-hemivariational inequalities
 
Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 493–516
 
Preprint Journal
N. S. Papageorgiou, P. Winkert
 
On a parametric nonlinear Dirichlet problem with subdiffusive and equidiffusive reaction
 
Adv. Nonlinear Stud. 14 (2014), no. 3, 747–773
 
Preprint Journal
G. Bonanno, D. Motreanu, P. Winkert
 
Boundary value problems with nonsmooth potential, constraints and parameters
 
Dynam. Systems Appl. 22 (2013), no. 2-3, 385–396
 
Preprint
P. Winkert
 
Multiplicity results for a class of elliptic problems with nonlinear boundary condition
 
Commun. Pure Appl. Anal. 12 (2013), no. 2, 785–802
 
Preprint Journal
P. Winkert, R. Zacher
 
A priori bounds for weak solutions to elliptic equations with nonstandard growth
 
Discrete Contin. Dyn. Syst. Ser. S 5 (2012), no. 4, 865–878
 
Preprint Journal arXiv
D. Motreanu, P. Winkert
 
On the Fucik spectrum for the p-Laplacian with Robin boundary condition
 
Nonlinear Anal. 74 (2011), no. 14, 4671–4681
 
Preprint Journal
G. Bonanno, D. Motreanu, P. Winkert
 
Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions
 
J. Math. Anal. Appl. 381 (2011), no. 2, 627–637
 
Preprint Journal
P. Winkert
 
Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities
 
J. Math. Anal. Appl. 377 (2011), no. 1, 121–134
 
Preprint Journal
D. Motreanu, P. Winkert
 
Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
 
Matematiche (Catania) 65 (2010), no. 2, 109–119
 
Preprint Journal
P. Winkert
 
Sign-changing and extremal constant-sign solutions of nonlinear elliptic Neumann boundary value problems
 
Bound. Value Probl. 2010, Art. ID 139126, 22 pp.
 
Preprint Journal
P. Winkert
 
Local C1-minimizers versus local W1,p-minimizers of nonsmooth functionals
 
Nonlinear Anal. 72 (2010), no. 11, 4298–4303
 
Preprint Journal
P. Winkert
 
L-estimates for nonlinear elliptic Neumann boundary value problems
 
NoDEA Nonlinear Differential Equations Appl. 17 (2010), no. 3, 289–302
 
Preprint Journal
P. Winkert
 
Constant-sign and sign-changing solutions for nonlinear elliptic equations with Neumann boundary values
 
Adv. Differential Equations 15 (2010), no. 5-6, 561–599
 
Preprint Journal
P. Winkert
 
Entire extremal solutions for elliptic inclusions of Clarke′s gradient type
 
Z. Anal. Anwend. 29 (2010), no. 1, 63–75
 
Preprint Journal
S. Carl, P. Winkert
 
General comparison principle for variational-hemivariational inequalities
 
J. Inequal. Appl. 2009, Art. ID 184348, 29 pp.
 
Preprint Journal
P. Brückmann, P. Winkert
 
T-symmetrical tensor differential forms with logarithmic poles along a hypersurface section
 
Int. J. Pure Appl. Math. 46 (2008), no. 1, 111–136
 
Preprint Journal
P. Winkert
 
Discontinuous variational-hemivariational inequalities involving the p-Laplacian
 
J. Inequal. Appl. 2007, Art. ID 13579, 11 pp.
 
Preprint Journal
Book Contributions
D. Motreanu, P. Winkert
 
Elliptic problems with nonhomogeneous differential operators and multiple solutions
 
Chapter 15 in: Mathematics Without Boundaries (Surveys in Pure Mathematics), 357–379, Springer, New York, 2014
 
Preprint Link to Springer
D. Motreanu, P. Winkert
 
The Fucik spectrum for the negative p-Laplacian with different boundary conditions
 
Chapter 28 in: Nonlinear Analysis (Stability, Approximation, and Inequalities), 471–485, Springer, New York, 2012
 
Preprint Link to Springer
Theses
03
P. Winkert
 
Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities
 
Habilitation thesis, Technische Universität Berlin, Berlin, Germany, November 2015
 
Download
02
P. Winkert
 
Comparison principles and multiple solutions for nonlinear elliptic problems
 
PhD thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2009
 
Download University of Halle Amazon.de
01
P. Winkert
 
T-symmetrische Tensor-Differentialformen mit logarithmischen Polen
 
Diploma thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2006 (available only in German)
 

Research
Research Interests

Nonsmooth variational problems (variational- and hemivariational inequalities)

Nonlinear elliptic and parabolic differential equations and inclusions

Comparison principles and multiple solutions in nonlinear elliptic problems

Fucik spectrum of elliptic operators

Nonhomogeneous operators

A priori bounds for elliptic and parabolic problems (equations and inequalities)

Singular problems

Morse theory and critical groups

Teaching
Teaching Experience

Fall 2018Lectures 'Analysis I für Ingenieurwissenschaften' (Technische Universität Berlin)

Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2018Lectures 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Fall 2017Lectures 'Funktionalanalysis' (University of Halle)

Lectures 'Partielle Differentialgleichungen' (University of Halle)

Lectures 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2017Lectures 'Lineare Algebra und Analytische Geometrie II' (Humboldt-Universität zu Berlin)

Tutorials 'Lineare Algebra und Analytische Geometrie II' (Humboldt-Universität zu Berlin)

Fall 2016Lectures 'Funktionalanalysis' (University of Halle)

Lectures 'Dynamische Systeme' (University of Halle)

Tutorials 'Dynamische Systeme' (University of Halle)

Seminar 'Fachseminar Analysis' (University of Halle)

Lectures 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2016Lectures 'Maßtheorie' (University of Halle)

Lectures 'Partielle Differentialgleichungen' (University of Halle)

Fall 2015Lectures 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2015Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Fall 2014Tutorials 'Analysis I für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2014Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Fall 2013Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Spring 2013Tutorials 'Lineare Algebra für Ingenieurwissenschaften' (Technische Universität Berlin)

Fall 2011Lectures 'Funktionalanalysis II' (Technische Universität Berlin)

Spring 2011Lectures 'Funktionalanalysis I' (Technische Universität Berlin)

Fall 2008Tutorials 'Analysis I' (University of Halle)

Site Notice

Information provided according to Sec. 5 German Telemedia Act (TMG):Patrick Winkert
Karl-Marx-Allee 132
10243 Berlin



Contact:Phone: +49 (0) 30 314 - 2 39 74
Email: patrick@winkert.de


Dispute resolutionThe European Commission provides a platform for online dispute resolution (OS): https://ec.europa.eu/consumers/odr.
We do not take part in online dispute resolutions at consumer arbitration boards.


Liability for ContentsAs service providers, we are liable for own contents of these websites according to Sec. 7, paragraph 1 German Telemedia Act (TMG). However, according to Sec. 8 to 10 German Telemedia Act (TMG), service providers are not obligated to permanently monitor submitted or stored information or to search for evidences that indicate illegal activities. Legal obligations to removing information or to blocking the use of information remain unchallenged. In this case, liability is only possible at the time of knowledge about a specific violation of law. Illegal contents will be removed immediately at the time we get knowledge of them.

Liability for LinksOur offer includes links to external third party websites. We have no influence on the contents of those websites, therefore we cannot guarantee for those contents. Providers or administrators of linked websites are always responsible for their own contents. The linked websites had been checked for possible violations of law at the time of the establishment of the link. Illegal contents were not detected at the time of the linking. A permanent monitoring of the contents of linked websites cannot be imposed without reasonable indications that there has been a violation of law. Illegal links will be removed immediately at the time we get knowledge of them.

CopyrightContents and compilations published on these websites by the providers are subject to German copyright laws. Reproduction, editing, distribution as well as the use of any kind outside the scope of the copyright law require a written permission of the author or originator. Downloads and copies of these websites are permitted for private use only. The commercial use of our contents without permission of the originator is prohibited. Copyright laws of third parties are respected as long as the contents on these websites do not originate from the provider. Contributions of third parties on this site are indicated as such. However, if you notice any violations of copyright law, please inform us. Such contents will be removed immediately.

Privacy Policy
1 An overview of data protection

GeneralThe following gives a simple overview of what happens to your personal information when you visit our website. Personal information is any data with which you could be personally identified. Detailed information on the subject of data protection can be found in our privacy policy found below.
Data collection on our website

Who is responsible for the data collection on this website?The data collected on this website are processed by the website operator. The operator's contact details can be found in the website's required legal notice.

How do we collect your data?Some data are collected when you provide it to us. This could, for example, be data you enter on a contact form. Other data are collected automatically by our IT systems when you visit the website. These data are primarily technical data such as the browser and operating system you are using or when you accessed the page. These data are collected automatically as soon as you enter our website.

What do we use your data for?Part of the data is collected to ensure the proper functioning of the website. Other data can be used to analyze how visitors use the site.

What rights do you have regarding your data?You always have the right to request information about your stored data, its origin, its recipients, and the purpose of its collection at no charge. You also have the right to request that it be corrected, blocked, or deleted. You can contact us at any time using the address given in the legal notice if you have further questions about the issue of privacy and data protection. You may also, of course, file a complaint with the competent regulatory authorities.
2 General information and mandatory information

Data protectionThe operators of this website take the protection of your personal data very seriously. We treat your personal data as confidential and in accordance with the statutory data protection regulations and this privacy policy. If you use this website, various pieces of personal data will be collected. Personal information is any data with which you could be personally identified. This privacy policy explains what information we collect and what we use it for. It also explains how and for what purpose this happens. Please note that data transmitted via the internet (e.g. via email communication) may be subject to security breaches. Complete protection of your data from third-party access is not possible.

Notice concerning the party responsible for this website The party responsible for processing data on this website is:
Patrick Winkert
Karl-Marx-Allee 132
10243 Berlin

Phone: +49 (0) 30 314 - 2 39 74
Email: patrick@winkert.de

The responsible party is the natural or legal person who alone or jointly with others decides on the purposes and means of processing personal data (names, email addresses, etc.).


Revocation of your consent to the processing of your data Many data processing operations are only possible with your express consent. You may revoke your consent at any time with future effect. An informal email making this request is sufficient. The data processed before we receive your request may still be legally processed.

Right to file complaints with regulatory authorities If there has been a breach of data protection legislation, the person affected may file a complaint with the competent regulatory authorities. The competent regulatory authority for matters related to data protection legislation is the data protection officer of the German state in which our company is headquartered. A list of data protection officers and their contact details can be found at the following link: https://www.bfdi.bund.de/DE/Infothek/Anschriften_Links/anschriften_links-node.html.

Right to data portability You have the right to have data which we process based on your consent or in fulfillment of a contract automatically delivered to yourself or to a third party in a standard, machine-readable format. If you require the direct transfer of data to another responsible party, this will only be done to the extent technically feasible.

Information, blocking, deletion As permitted by law, you have the right to be provided at any time with information free of charge about any of your personal data that is stored as well as its origin, the recipient and the purpose for which it has been processed. You also have the right to have this data corrected, blocked or deleted. You can contact us at any time using the address given in our legal notice if you have further questions on the topic of personal data.

Opposition to promotional emails We hereby expressly prohibit the use of contact data published in the context of website legal notice requirements with regard to sending promotional and informational materials not expressly requested. The website operator reserves the right to take specific legal action if unsolicited advertising material, such as email spam, is received.
3 Data collection on our website

Server log files The website provider automatically collects and stores information that your browser automatically transmits to us in "server log files". These are:

- Browser type and browser version
- Operating system used
- Referrer URL
- Host name of the accessing computer
- Time of the server request
- IP address

These data will not be combined with data from other sources. The basis for data processing is Art. 6 (1) (f) DSGVO, which allows the processing of data to fulfill a contract or for measures preliminary to a contract.