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

Chems Eddine, Nabil (author), Repovš, Dušan (author)

We 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.

• Language: English
• Keywords: concentration–compactness principle, critical points theory, critical Sobolev exponents, generalized capillary operator, limit index theory, p-Laplacian, p(x)-Laplacian, Palais–Smale condition, Schrödinger-Kirchhoff-type problems, weighted exponent spaces
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 2092–2121
• Numbering: Vol. 297, iss. 6
• PID: 20.500.12556/RUL-158506
• UDC: 517.9
• ISSN on article: 0025-584X
• DOI: 10.1002/mana.202200503
• COBISS.SI-ID: 186454787
• Publication date in RUL: 14.06.2024

Record is a part of a journal

• Title: Mathematische Nachrichten
• Shortened title: Math. Nachr.
• Publisher: Wiley
• ISSN: 0025-584X
• COBISS.SI-ID: 25915392

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.