Existence of two solutions for singular {\Phi}-Laplacian problems
Analysis of PDEs
2022-07-01 v1
Abstract
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the {\Phi}-Laplacian operator and the reaction term can be non-monotone. The main tools employed are a local minimum theorem and the Mountain Pass theorem, together with the truncation technique. Global C^{1,{\tau}} regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.
Cite
@article{arxiv.2206.15061,
title = {Existence of two solutions for singular {\Phi}-Laplacian problems},
author = {Pasquale Candito and Umberto Guarnotta and Roberto Livrea},
journal= {arXiv preprint arXiv:2206.15061},
year = {2022}
}