Home
Curriculum Vitae
Publications
Editorial Work
Teaching
Projects
Last modification:
April 1, 2021
Siegfried Carl
Professor of Mathematics
siegfried_carl Contact Phone +49 345 5524639 Fax +49 345 5527003 Email siegfried.carl@mathematik.uni-halle.de
Postal Address Prof. Dr. Siegfried Carl Martin-Luther-Universität Halle-Wittenberg Institut für Mathematik 06099 Halle, Germany
Research Interests -  Nonlinear Analysis -  Nonsmooth Variational Problems
(Variational- and Hemivariational Inequalities) -  Nonlinear Elliptic and Parabolic Differential Equations and Inclusions -  Comparison Principles -  Multiple Solutions in Nonlinear Elliptic Problems -  Nonlinear Eigenvalue Problems
Siegfried Carl - Professor of Mathematics
Curriculum Vitae
Education
  • 1975 Master in Mathematics (Diploma in Mathematics), University of Halle, Germany
  • 1984 Ph.D. in Mathematics (Dr.rer.nat.), University of Halle, Germany
  • 1990 postdoctoral qualification - Dr.rer.nat.habil. (Habilitation), Department of Mathematics and Computer Science, Institute of Technology (Technische Hochschule), Merseburg, Germany
Employment
  • 1975-1981 Researcher, Academy of Science Institute of Solid State Physics and Electron Microscopy, Halle, Germany
  • 1981-1984 Ph.D.-Research Fellow, Department of Mathematics, University of Halle, Germany
  • 1984-1993 Assistant and Senior Assistant, Department of Mathematics and Computer Science, Institute of Technology, Merseburg, Germany
  • 1993-1995 Privatdozent, Department of Mathematics and Computer Science, University of Halle, Germany
  • since 1995 Professor of Mathematics, Institute of Mathematics, University of Halle, Germany
Visiting Positions (A selection of stays of one month and longer)
  • 1990 (1 month) Department of Mathematics, University of Oulu, Finland
  • 1994 (2 months) Department of Applied Mathematics, Florida Institute of Technology, Melbourne, FL, USA
  • 1994, LEOPOLDINA-RESEARCH GRANT AWARD from GERMAN ACADEMY OF SCIENCES LEOPOLDINA (including a Leopoldina Scholarship for a 6-months research stay abroad)
  • 1995 (6 months) Department of Mathematics, North Carolina State University, Raleigh, USA
  • 1996 (1 month) Department of Mathematics, University of Oulu, Finland
  • 1997 (1 month) Department of Mathematics, University of Oulu, Finland
  • 1998 (5 weeks) Department of Mathematics, University of Oulu, Finland
  • 2000 (1 month) Department of Mathematical Sciences, University of Delaware, USA and Department of Applied Mathematics, Florida Institute of Technology, Melbourne, FL, USA
  • 2001-2002 (1 academic year) Visiting Professor at the Department of Applied Mathematics, Florida Institute of Technology, Melbourne, FL, USA
  • 2005 (1 month) Visiting Professor at the Department of Mathematics, University of Perpignan, France
  • 2008 (1 month) Visiting Professor at the Department of Mathematics, University of Perpignan, France
Siegfried Carl - Professor of Mathematics
Publications
Monographs
Recent Research Articles (a list of all publications as pdf-file can be downloaded here)
  1. Carl, S., Extremal solutions of quasilinear elliptic variational inequalities in exterior domains, Pure Appl. Funct. Anal., to appear (in: Special Issue on Analysis and PDE in memory of Professor Louis Nirenberg).
  2. Carl, S., and Le, Vy K., On systems of parabolic variational inequalities with multivalued terms, Monatsh. Math. 194 (2021), no. 2, 227-260.
  3. Carl, S., N-Laplacian elliptic equations in exterior domains via Kelvin transform, Pure Appl. Funct. Anal. (in: Special Issue on Analysis and PDE dedicated to Professor H. Brezis on the occasion of his 75th birthday) 5 (2020), no. 4, 869-890.
  4. Carl, S., and Le, Vy K., Extremal solutions of multi-valued variational inequalities in plane exterior domains, J. Differential Equations (2019), https://doi.org/10.1016/j.jde.2019.05.020
  5. Carl, S., Costa, David G., Fotouhi, M., and Tehrani, H., Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of R^2, Calc. Var. Partial Differential Equations 58 (2019), no. 2, Art. 65, 24 pp.
  6. Carl, S., Costa, David G., and Tehrani, H., Extremal solutions of logistic-type equations in exterior domain in R^2, Nonlinear Anal. 176 (2018), 272-287.
  7. Carl, S., Tietz, Ch., Quasilinear elliptic equations with measures and multi-valued lower order terms, Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 2, 193-212.
  8. Carl, S., Decay estimates for Wolff potentials in R^N and gradient-dependent quasilinear elliptic equations, J. Differential Equations 265 (2018), no. 8, 3685-3708.
  9. Carl, S., and Motreanu, D., Extremal solutions for quasilinear parabolic systems in trapping regions, Pure and Applied Functional Analysis 3 (2018), no. 1, 57-74.
  10. Carl, S., Costa, David G., and Tehrani, H., D^{1,2}(R^N) versus C(R^N) local minimizer on manifolds and multiple solutions for zero-mass equations in R^N, Advances in Calculus of Variations 11 (2018), no. 3, 257-272.
  11. Carl, S., Extremal solutions of p-Laplacian problems in D^{1,p}(R^N) via Wolff potential estimates, J. Differential Equations 263 (2017), 3370-3395.
  12. Carl, S., and Motreanu, D., Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions, Monatsh Math 182 (2017), no. 4, 801-821.
  13. Carl, S., Costa, David G., and Tehrani, H., D^{1,2}(R^N) versus C(R^N) local minimizer and a Hopf-type maximum principle, J. Differential Equations 261 (2016), 2006-2025.
  14. Carl, S., Costa, David G., and Tehrani, H., Extremal and sign-changing solutions of supercritical logistic-type equations in R^N, Calc. Var. Partial Differential Equations 54 (2015), no. 4, 4143-4164.
  15. Carl, S., Barrier solutions of elliptic variational inequalities, Nonlinear Anal. Real World Appl. 26 (2015), 75-92.
  16. Carl, S., and Motreanu, D., Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials, Appl. Anal. 94 (2015), no. 8, 1594-1613.
  17. Carl, S., and D'Ambrosio, L., Foreword [Nonlinear partial differential equations, in honor of Enzo Mitidieri on his 60th birthday], Nonlinear Anal. 121 (2015), 1-2.
  18. Carl, S., and Vy K. Le, Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities, Nonlinear Anal. 121 (2015), 130-152.
  19. Carl, S., and Le, V. K., Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities, Advanced Nonlinear Studies 14 (2014), 603-631.
  20. Carl, S., and Le, V. K., Quasilinear Parabolic Variational Inequalities with Multi-Valued Lower Order Terms, Z. Angew. Math. Phys. 65 (2014), 845-864
  21. Carl, S., Existence and Extremal Solutions of Parabolic Variational-Hemivariational Inequalities, Monatsh. Math. 172 (2013), 29-54.
  22. Candito, P., Carl, S., and Livrea, R., Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems, Dynam. Systems Appl. 22 (2013), 397-410.
  23. Carl, S., Signorini type variational inequality with state-dependent discontinuous multivalued boundary operators, Nonlinear Anal. 92 (2013), 138-152.
  24. Carl, S., Elliptic variational inequalities with discontinuous multi-valued lower order terms, Adv. Nonlinear Stud. 13 (2013), 55-78.

Siegfried Carl - Professor of Mathematics
Editorial Work
Editorial Board Member of the following international mathematical journals:
Siegfried Carl - Professor of Mathematics
Teaching
The following list provides a selection of courses taught in recent years:
  • Basic courses in Analysis:
    1. Real Analysis in one and higher dimensions
    2. Ordinary Differential Equations
    3. Function Theory of One Complex Variable
    4. Measure Theory
  • Introduction to Linear Functional Analysis
  • Nonlinear Analysis:
    1. Monotone and Pseudomonotone Operators
    2. Variational Inequalities
    3. Variational Methods
  • Partial Differential Equations
  • Functional Analysis and its Applications to Partial Differential Equations
  • Differential Inequalities: Maximum and Comparison Principles
Siegfried Carl - Professor of Mathematics
Projects
Please click here.