Singular Poisson equations on Finsler-Hadamard manifolds
Analysis of PDEs
2016-02-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1602.03707,
title = {Singular Poisson equations on Finsler-Hadamard manifolds},
author = {Csaba Farkas and Alexandru Kristály and Csaba Varga},
journal= {arXiv preprint arXiv:1602.03707},
year = {2016}
}
Comments
Published in: Calc. Var. Partial Differential Equations 54 (2015), no. 2, 1219-1241