Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger

Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

Published:2023-06-28 Issue:16 Volume:46 Page:16782-16801
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Chems Eddine Nabil¹,Duc Nguyen Phuong²,Alessandra Ragusa Maria²³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences Mohammed V University Rabat Morocco

2. Faculty of Fundamental Science Industrial University of Ho Chi Minh City Ho Chi Minh City Vietnam

3. Dipartimento di Matematica e Informatica Universitá di Catania Viale Andrea Doria Catania Italy

Abstract

In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the nonlinearities.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9474

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