Three weak solutions for nonlinear problems of anisotropic double phase type

Open Mathematics 2026 Open access

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Authors: Ahmed Ahmed, Moussa Ahmed Salem Atigh, Mohamed Saad Bouh Elemine Vall, Salah Boulaaras
DOI: 10.1515/math-2025-0239
Cited by: 1
References: 42

Abstract

Abstract The aim of this paper is to establish the existence of at least three distinct weak solutions for a class of nonlinear elliptic problems with double phase structure under anisotropic Neumann-type boundary conditions. The problem is formulated in the framework of anisotropic Sobolev spaces and is governed by the following system: − ∑ j = 1 N ∂ ∂ x j a j x , ∂ φ ∂ x j + b j x , ∂ φ ∂ x j + α ( x ) | φ | p 0 ( x ) − 2 φ + | φ | q 0 ( x )

Fields of Study & Subjects

Nonlinear Partial Differential Equations Differential Equations and Boundary Problems Navier-Stokes equation solutions

Publication details

Journal / source
Open Mathematics
Publisher
Walter de Gruyter GmbH
Volume
24
Issue
1
Publication date
1 January 2026
Language
EN