Nonlocal Lazer-McKenna type problem perturbed by the Hardy's potential and its parabolic equivalence

Abstract

In this paper, we study the effect of Hardy potential on the existence or non-existence of solutions to a fractional Laplacian problem involving a singular nonlinearity. Also, we mention a stability result.

arXiv admin note: text overlap with arXiv:1412.8159 by other authors

References in corpus (3)

• On doubly nonlocal fractional elliptic equations
• The Dirichlet problem for the $1$-Laplacian with a general singular term and $L^1$-data
• The method of super-solutions in Hardy and Rellich type inequalities in the $L^2$ setting: an overview of well-known results and short proofs