Solvability of Parametric Elliptic Systems with Variable Exponents-Reference-Cited by-同舟云学术

Solvability of Parametric Elliptic Systems with Variable Exponents

Published:2023-09-01 Issue:3 Volume:9 Page:311-330
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Ouannasser Anass¹,El Hachimi Abderrahmane¹

Affiliation:

1. Center of Mathematical Research and Applications of Rabat (CeReMAR), Laboratory of Mathematical Analysis and Applications, Faculty of Sciences , Mohammed V University , P.O. Box 1014 , Rabat , Morocco .

Abstract

Abstract In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents. We first prove the existence of at least a weak solution for some non-variational systems by using a surjectivity result for pseudomonotone operators. Furthermore, under additional conditions, we show that the solution is unique and provide examples. Second, we deal with non-resonant gradient-type systems and obtain existence by using a variational approach.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2023-0021

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