MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Multiple Solutions for Semi-linear Corner Degenerate Elliptic Equations

Hua Chen, Xiaochun Liu and Yawei Wei


The present paper is concerned with the existence of multiple solutions for semi-linear corner-degenerate elliptic equations with subcritical conditions. First, we introduce the corner type weighted p-Sobolev spaces and discuss the properties of continuous embedding, compactness and spectrum. Then, we prove the corner type Sobolev inequality and Poincaré inequality, which are important in the proof of the main result.

dirichlet problem, multiple solutions, corner-degenerate elliptic operators, corner type weighted p-Sobolev spaces, corner type Sobolev inequality

Related publications

2014 Repository Open Access
Hua Chen, Xiaochun Liu and Yawei Wei

Multiple solutions for semi-linear corner degenerate elliptic equations

In: Journal of functional analysis, 266 (2014) 6, pp. 3815-3839