Existence results for problems involving non local operator with an asymmetric weight and with a critical nonlinearity
Analysis of PDEs
2025-06-25 v3
Abstract
Recently, great attention has been focused on the study of fractional and non-local operators of elliptic type, both for pure mathematical research and in view of concrete real-world applications. Our problem is related to the fractional Yamabe problem. First, we study a non-local problem involving the fractional laplacian, a critical nonlinearity with a non-symmetric weight,and a pertubation __in a bounded domain. We show that in the case of a linear perturbation. Next, if the perturbation is nonlinear, we find non-ground-state solutions for the problem.
Keywords
Cite
@article{arxiv.2404.07531,
title = {Existence results for problems involving non local operator with an asymmetric weight and with a critical nonlinearity},
author = {Sana Benhafsia and Rejeb Hadiji},
journal= {arXiv preprint arXiv:2404.07531},
year = {2025}
}