Multiple Solutions for a Class of Degenerate Kirchhoff‐Type Equations With Logarithmic Nonlinearity
Abstract
ABSTRACT This article is to study the existence of multiple solutions for the following degenerate Kirchhoff‐type equation with logarithmic nonlinearity: where is a smooth bounded domain in . By using the variational methods and appropriate hypotheses of and , we get two positive solutions for the case of , a positive ground state solution and a sequence of high energy solutions for . Our results generalize and improve some recent results in the literature.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Publisher
- Wiley
- Volume
- 49
- Issue
- 8
- Pages
- 8436–8452
- Publication date
- 13 January 2026
- Language
- EN