Singular Poisson equations on Finsler-Hadamard manifolds

  • Csaba Farkas (Cluj/Catania)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


In the first part of the talk we study the reflexivity of Sobolev spaces on non-compact and not necessarily reversible Finsler manifolds. Then, by using direct methods in the calculus of variations, we establish uniqueness, location and rigidity results for singular Poisson equations involving the Finsler-Laplace operator on Finsler-Hadamard manifolds having finite reversibility constant.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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