Prof. Dr. Catherine Bandle

   

Römerstr.5 CH-4147 Aesch Switzerland

Tel (+4161) 751 16 72 Email: c.bandle@gmx.ch

Activities

1975-2003   Professor at the Institute of Mathematics at the University of Basel.
Since April 2003 retired

July 2005: Gastvorlesung " Elliptische Probleme mit kritischem Wachstum" , Institut für Mathematik  RWTH Aachen and Mathematisches Institut Universität Köln.

October 2005: Visiting Professor at the Institute of Mathematical Sciences of the Chinese University of Hong Kong.

Main organizer of the Summer School in the Alpes 2006 on "Global and geometric aspects of nonlinear partial differential equations".

February 2007: Visiting Professor at the Université Catholique Louvain-La-Neuve

Member of the scientific committee: "Free Boundary Problems: Theory and Applications", Stockholm June 8-13, 2008 www.math.kth.se/FBP08

Mathematical interests

Partial differential equations (qualitative aspects of elliptic and parabolic boundary value problems), calculus of variations (problems with critical growth).

Problems of optimal shape, free boundary problems, history of women in mathematics.

Research projects

• (with Y. Kabeya and H. Ninomiya) Imperfect bifurcations arising in a nonlinear elliptic equation on a spherical cap
• (with V. Moroz and W. Reichel) Boundary blowup solutions to semilinear elliptic equations with Hardy potential.
• (with M. A. Pozio and A. Tesei) Cauchy problems in the hyperbolic space H^N.
• (with A. Wagner) Rayleigh-Faber-Krahn inequalities with weights, optimal shape and applications to elliptic boundary value problems.
• (with J. Wei) Solutions with clustered layers and bubbles for semilinear elliptic problems in spherical spaces, concentration phenomena.

Recent publications

C. Bandle, J. v. Below and W. Reichel, Parabolic problems with dynamical boundary conditions: eigenvalue expansion and blow up, Rendi. Lincei Mat. Appl. 17 (2006). 35-67.

C. Bandle and W. Reichel,  A linear parabolic problem with non-dissipative dynamical boundary conditions, Recent Advances on Elliptic and Parabolic Issues, Proceedings of the 2004 Swiss-Japanese Seminar, M. Chipot and H. Ninomiya eds., World Scientific (2006), 46-79.

Catherine Bandle and Juncheng Wei, Multiple Clustered Layer Solutions for Semilinear Elliptic Problems on S^n, Commun. Partial Diff. Equ. 33 (2008), 1-23.

Catherine Bandle and Juncheng Wei, Non-radial clustered spike solutions for semilinear elliptic problems on S^n. J. Anal. Math. 102 (2007), 181--208.

Catherine Bandle and Alfred Wagner, Optimization problems for weighted Sobolev constants, Calc. of Var. 29 (2007), 481-507.

Catherine Bandle and Alfred Wagner, Sobolev constants in disconnected domains, AIP Conference Proceedings 835 (2006), 12-19.

C. Bandle, V. Moroz and W. Reichel, "Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential, J. London Math. Soc. 77 (2008), 503-523.

C. Bandle, A Rayleigh-Faber-Krahn inequalitiy and some monotonicity properties for eigenvalue problems with mixed boundary conditions, to appear in Proceedings of the Conference on Inequalities and Applications '07.

C. Bandle and A. Wagner, Optimization problems for an energy functional with mass constraint revisited, submitted.

Further Activities

• Member of the Landeshochschulrates Brandenburg
• Member of the Steering Committee of the European Science Foundatiion  programme: Global and Geometric Aspects of Nonlinear Partial Differential Equations.
• Member of the board of the Ostrowski Foundation
• Member of the board of the University Women of Switzerland www.unifemmes.ch