Dirichlet systems with discrete relativistic operator-Reference-Cited by-同舟云学术

Dirichlet systems with discrete relativistic operator

Published:2023-12-26 Issue: Volume: Page:
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Cabada Alberto¹²,Jebelean Petru³^ORCID,Şerban Călin⁴

Affiliation:

1. CITMAga Santiago de Compostela Spain

2. Análise Matemática e Optimización Facultade de Matemáticas, Departamento de Estatística Universidade de Santiago de Compostela Santiago de Compostela Spain

3. Institute for Advanced Environmental Research West University of Timişoara Timişoara Romania

4. Department of Mathematics West University of Timişoara Timişoara Romania

Abstract

AbstractWe are concerned with Dirichlet systems involving the relativistic discrete operator Here, for , we denote by the forward difference operator. Besides a “universal” existence result for a system with a general nonlinearity, we obtain multiplicity of solutions for systems with parameterized nonlinearities. Our approaches mainly rely on Brouwer degree arguments and critical point theory for convex, lower semicontinuous perturbations of ‐functionals.

Funder

Agencia Estatal de Investigación

European Regional Development Fund

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12986

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