Generalized noncooperative Schrödinger–Kirchhoff–type systems in RN$\mathbb {R}^N$-Reference-Cited by-同舟云学术

Generalized noncooperative Schrödinger–Kirchhoff–type systems in RN$\mathbb {R}^N$

Published:2024-02-21 Issue:6 Volume:297 Page:2092-2121
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Chems Eddine Nabil¹^ORCID,Repovš Dušan D.²³⁴^ORCID

Affiliation:

1. Laboratory of Mathematical Analysis and Applications Department of Mathematics, Faculty of Sciences Mohammed V University Rabat Morocco

2. Faculty of Education University of Ljubljana Ljubljana Slovenia

3. Faculty of Mathematics and Physics University of Ljubljana Ljubljana Slovenia

4. Institute of Mathematics, Physics and Mechanics Ljubljana Slovenia

Abstract

AbstractWe consider a class of noncooperative Schrödinger–Kirchhof–type system, which involves a general variable exponent elliptic operator with critical growth. Under certain suitable conditions on the nonlinearities, we establish the existence of infinitely many solutions for the problem by using the limit index theory, a version of concentration–compactness principle for weighted‐variable exponent Sobolev spaces and the principle of symmetric criticality of Krawcewicz and Marzantowicz.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202200503

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