Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators

TL;DR

This paper proves the existence of infinitely many radially symmetric solutions for a class of nonlinear anisotropic problems involving nonhomogeneous operators, using a symmetric mountain pass theorem approach.

Contribution

It introduces a new class of nonhomogeneous differential operators and establishes the existence of infinitely many symmetric solutions for related anisotropic problems.

Findings

Existence of infinitely many radial solutions confirmed.

Application of symmetric mountain pass theorem to nonhomogeneous operators.

Advancement in understanding anisotropic nonlinear differential equations.

Abstract

We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators. Our proof relies on the symmetric version of the mountain pass theorem.