Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590230 | Journal of Functional Analysis | 2014 | 25 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hua Chen, Xiaochun Liu, Yawei Wei,