Singular Poisson equations on Finsler–Hadamard manifolds

Csaba Farkas, Alexandru Kristály, Csaba Varga

Research output: Contribution to journalArticle

7 Citations (Scopus)


In the first part of the paper 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.

Original languageEnglish
Pages (from-to)1219-1241
Number of pages23
JournalCalculus of Variations and Partial Differential Equations
Issue number2
Publication statusPublished - Oct 22 2015


  • 53C60
  • 58J05
  • 58J60

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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