Work

On the weak solvability of a class of variable exponent systems

Year: 2026

Type: article

Abstract: We use a variational approach based on the mountain-pass theorem to prove the existence of weak solutions for nonlinear variable exponent systems with homogeneous Dirichlet boundary conditions. The class of systems discussed here is governed by Leray-Lions type operators which, under sufficiently relaxed hypotheses, are covering as particular cases generalized Laplace, mean curvature, and capillarity operators, as well as various combinations of them. Thus, our main result yields a unified framework for several nonlinear models connected to a large number of potential applications.

Source: manuscripta mathematica

DOI: 10.1007/s00229-026-01742-2

Authors: Maria-Magdalena Boureanu, Loredana Dafinoiu, Mircea Sofonea

Institutions: University of Craiova, Université de Perpignan

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Université de Perpignan Via Domitia