English

Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential

Analysis of PDEs 2022-05-13 v1

Abstract

In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and L1L^1 data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.

Keywords

Cite

@article{arxiv.2205.05734,
  title  = {Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential},
  author = {G. Chirillo and L. Montoro and L. Muglia and B. Sciunzi},
  journal= {arXiv preprint arXiv:2205.05734},
  year   = {2022}
}