Work

Two Nontrivial Solutions for a Nonhomogeneous Quasilinear Elliptic System With Sign‐Changing Weight Functions

Year: 2025

Type: article

Abstract: ABSTRACT We are interested in looking for two nontrivial solutions for a class of nonhomogeneous quasilinear elliptic system with sign‐changing weight functions and concave‐convex nonlinearities on the bounded domain. This kind of quasilinear elliptic system arises from nonlinear optics, whose feature is that its differential operator depends on not only but also . Employing the mountain pass theorem and Ekeland's variational principle as the major tools, we show that the system has at least one nontrivial solution of positive energy and one nontrivial solution of negative energy, respectively.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10997

Authors: Wanting Qi, Xingyong Zhang

Institution: Kunming University of Science and Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409609851

FWCI: 1.893

Cites: 42

Cited by: 1

Related to: 10