Two solutions for Dirichlet double phase problems with variable exponents

Abstract: This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such as a subcritical growth and a superlinear condition. In particular, we prove the existence of two bounded weak solutions with opposite energy sign and we state some special cases in which they turn out to be nonnegative.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Two solutions for Dirichlet double phase problems with variable exponents ; volume:24 ; number:3 ; year:2024 ; pages:734-747 ; extent:14
Advanced nonlinear studies ; 24, Heft 3 (2024), 734-747 (gesamt 14)

Creator
Amoroso, Eleonora
Bonanno, Gabriele
D’Aguì, Giuseppina
Winkert, Patrick

DOI
10.1515/ans-2023-0134
URN
urn:nbn:de:101:1-2405211709243.296287873331
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:02 AM CEST

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Associated

  • Amoroso, Eleonora
  • Bonanno, Gabriele
  • D’Aguì, Giuseppina
  • Winkert, Patrick

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