Forschungsinteressen

Nichtlineare Analysis

Indefinite elliptische Probleme

Sobolev und Caffarelli-Kohn-Nirenberg Ungleichungen

Geometrische Analysis

Vorgeschriebene Skalar- und geodätische Krümmung

Magnetische Geodäten

Publikationen in Fachzeitschriften

  1. Compact embeddings and indefinite semilinear elliptic problems, Nonlinear Analysis 51 (2002).
  2. Existence and nonexistence of positive solutions of indefinite elliptic problems in R^N$, Advanced Nonlinear Studies 3 (2003).
  3. (Mit V. Felli) Perturbation Results of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type, Journal of Differential Equations 191 (2003).
  4. (Mit V. Felli) A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type, Advanced Nonlinear Studies 3 (2003).
  5. (Mit T. Bartsch und T. Weth) Multiple solutions of a critical polyharmonic equation, Journal für die Reine und Angewandte Mathematik 571 (2004).
  6. (Mit V. Felli) Compactness and existence results for degenerate elliptic equations, Communications in Contemporary Mathematics 7 (2005).
  7. Apriori estimates for the scalar curvature equation on S^3, Calculus of Variations and Partial Differential Equations 29, (2007).
  8. Prescribing scalar curvature on S^3, Annales de l'Institut Henri Poincaré: Analyse non-linéaire 24 (2007).
  9. The scalar curvature equation on S^3, Journal of Functional Analysis 257 (2009).
  10. Closed magnetic geodesics on S^2, Journal of Differential Geometry 87 (2011).
  11. Alexandrov embedded closed magnetic geodesics on S^2, Ergodic Theory Dynam. Systems 32 (2012).
  12. (Mit H. Rosenberg) Embedded constant curvature curves on convex surfaces, Pacific Journal of Mathematics 253 (2011).
  13. Multiple solutions to the planar Plateau problem, Differential and Integral Equations 25 (2012).
  14. Closed magnetic geodesics on closed hyperbolic Riemann surfaces, Proceedings of the London Mathematical Society 105 (2012).

Preprints

Weitere Publikationen

  1. Entire Solutions of Semilinear Elliptic Problems with Indefinite Nonlinearities, Dissertation, Johannes Gutenberg-Universität Mainz, (2001).
  2. Prescribed scalar curvature on S^3, Habilitationsschrift, Ruprecht Karls-Universität Heidelberg, (2007).