Existence of two solutions for singular Φ-Laplacian problems-Reference-Cited by-同舟云学术

Existence of two solutions for singular Φ-Laplacian problems

Published:2022-01-01 Issue:1 Volume:22 Page:659-683
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Candito Pasquale¹,Guarnotta Umberto²,Livrea Roberto²

Affiliation:

1. Department DICEAM, University of Reggio Calabria, Via Graziella (Feo Di Vito) , 89122 Reggio Calabria , Italy

2. Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34 , 90123 Palermo , Italy

Abstract

AbstractExistence 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 nonmonotone. The main tools employed are the local minimum theorem and the Mountain pass theorem, together with the truncation technique. Global

C1,τ

{C}^{1,\tau }

regularity of solutions is also investigated, chiefly viaa prioriestimates and perturbation techniques.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0037/pdf

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5. H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext, Springer, New York, 2011.

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