Existence of multiple solutions for quasi-linear degenerate elliptic equations

2019/08/20 by Yawei Wei, Wei, Yawei
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1908.07134

openalex publication_date 2019/08/20 · openalex created_date 2019/08/29 · openalex updated_date 2026/07/28

Abstract

The present paper is concerned a class of quasi-linear elliptic degenerate equations. The degenerate operator comes from the analysis of manifolds with corner singularity. Variational methods are applied to verify the existence of infinity many solutions for the problems.

Related

• Multiplicity of solutions to a degenerate elliptic equation in the sub-critical and critical cases
• On the solutions of quasi-linear elliptic partial differential equations
• Multi-peak solutions for a class of degenerate elliptic equations
• Multiple solutions for some strongly degenerate second order elliptic equations
• Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians