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MiS Preprint
89/2013
Multiple Solutions for Semi-linear Corner Degenerate Elliptic Equations
Hua Chen, Xiaochun Liu and Yawei Wei
Abstract
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.
