Nichtlineare Analysis
Indefinite elliptische Probleme
Sobolev und Caffarelli-Kohn-Nirenberg Ungleichungen
Geometrische Analysis
Vorgeschriebene Skalar- und geodätische Krümmung
Magnetische Geodäten
Publikationen in Fachzeitschriften
- Compact embeddings and indefinite semilinear elliptic problems, Nonlinear Analysis 51 (2002).
- Existence and nonexistence of positive solutions of indefinite elliptic problems in R^N$, Advanced Nonlinear Studies 3 (2003).
- (Mit V. Felli) Perturbation Results of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type, Journal of Differential Equations 191 (2003).
- (Mit V. Felli) A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type, Advanced Nonlinear Studies 3 (2003).
- (Mit T. Bartsch und T. Weth) Multiple solutions of a critical polyharmonic equation, Journal für die Reine und Angewandte Mathematik 571 (2004).
- (Mit V. Felli) Compactness and existence results for degenerate elliptic equations, Communications in Contemporary Mathematics 7 (2005).
- Apriori estimates for the scalar curvature equation on S^3, Calculus of Variations and Partial Differential Equations 29, (2007).
- Prescribing scalar curvature on S^3, Annales de l'Institut Henri Poincaré: Analyse non-linéaire 24 (2007).
- The scalar curvature equation on S^3, Journal of Functional Analysis 257 (2009).
- Closed magnetic geodesics on S^2, Journal of Differential Geometry 87 (2011).
- Alexandrov embedded closed magnetic geodesics on S^2, Ergodic Theory Dynam. Systems 32 (2012).
- (Mit H. Rosenberg) Embedded constant curvature curves on convex surfaces, Pacific Journal of Mathematics 253 (2011).
- Multiple solutions to the planar Plateau problem, Differential and Integral Equations 25 (2012).
- Closed magnetic geodesics on closed hyperbolic Riemann surfaces, Proceedings of the London Mathematical Society 105 (2012).
Preprints
Weitere Publikationen
- Entire Solutions of Semilinear Elliptic Problems with Indefinite Nonlinearities, Dissertation, Johannes Gutenberg-Universität Mainz, (2001).
- Prescribed scalar curvature on S^3, Habilitationsschrift, Ruprecht Karls-Universität Heidelberg, (2007).