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
 
An Introduction to Applied Nonlinear Functional Analysis
 
to appear in Walter de Gruyter & Co, ~600 pages, 2018
 
Refereed Articles
29
N. S. Papageorgiou, P. Winkert
 
Double resonance for Robin problems with indefinite and unbounded potential
 
Discrete Contin. Dyn. Syst. Ser. S 5, accepted
 
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
27
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 5, 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 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)

Teaching
Teaching Experience

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)

Imprint

Responsible for the contentPatrick Winkert
Karl-Marx-Allee 132
10243 Berlin
mail-buttonpatrick@winkert.de



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