Existence of a sign-changing solution for multi-phase problems via Nehari method

Discrete and Continuous Dynamical Systems - S 2026 Open access

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Authors: Francesca Vetro
DOI: 10.3934/dcdss.2026050
Cited by: 1
References: 20

Abstract

We explore a Dirichlet problem driven by a multi-phase operator with three variable exponents. Here, under very general assumptions on the exponents and the nonlinearity, using variational tools and the Nehari method, we are able to produce a sign-changing solution for such problem.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - S
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
30
Issue
0
Pages
224–242
Publication date
1 January 2026