We investigate the existence of positive solutions for a singular double-phase problem with variable exponents. The reaction term is influenced by a sign-changing Carathéodory function. Our main approach utilizes a pseudomonotone-type operator. Additionally, by imposing specific assumptions, we establish the uniqueness of solutions.

Existence and Uniqueness of Solutions for Singular Double‐Phase Variable Exponent Equations

Failla, Giuseppe;
2025-01-01

Abstract

We investigate the existence of positive solutions for a singular double-phase problem with variable exponents. The reaction term is influenced by a sign-changing Carathéodory function. Our main approach utilizes a pseudomonotone-type operator. Additionally, by imposing specific assumptions, we establish the uniqueness of solutions.
2025
Inglese
Inglese
John Wiley and Sons Ltd
1
14
14
Internazionale
Esperti anonimi
double-phase operator; pseudomonotone operator; singular problems; unbalanced growth; uniqueness; variable exponent
info:eu-repo/semantics/article
Failla, Giuseppe; Gasiński, Leszek; Papageorgiou, Nikolaos S.
14.a Contributo in Rivista::14.a.1 Articolo su rivista
3
262
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3336993
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