Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term-Reference-Cited by-同舟云学术

Multiple solutions for semi-linear corner degenerate elliptic equations with singular potential term

Published:2016-06-14 Issue:04 Volume:19 Page:1650043
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Chen Hua¹,Tian Shuying¹²,Wei Yawei³

Affiliation:

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China

2. School of Science, Wuhan University of Technology, Wuhan 430070, P. R. China

3. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China

Abstract

The present paper is concern with the Dirichlet problem for semi-linear corner degenerate elliptic equations with singular potential term. We first give the preliminary of the framework and then discuss the weighted corner type Hardy inequality. By using the variational method, we prove the existence of multiple solutions for the Dirichlet boundary-value problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199716500437

Reference17 articles.

1. Dual variational methods in critical point theory and applications

2. Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents

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5. Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term

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