Nonlinear Neumann problems with logarithmic double phase operator

Discrete and Continuous Dynamical Systems - S 2026 Open access

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Authors: Valeria Morabito
DOI: 10.3934/dcdss.2026155
Cited by: 1
References: 33

Abstract

This paper is devoted to the study of existence results for nonhomogeneous Neumann problems involving the logarithmic double phase operator. In particular, by considering general assumptions on the nonlinearity, we use variational techniques to prove the existence of at least two nontrivial bounded weak solutions. Moreover, when additional hypotheses are satisfied, information concerning the sign of the solutions is also obtained.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Contact Mechanics and Variational Inequalities

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - S
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
28
Issue
0
Pages
195–215
Publication date
1 January 2026