Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664932 | Acta Mathematica Scientia | 2006 | 11 Pages |
Abstract
This article deals with the problem -Δpu=λ|u|p-2u|x|pInpR/|x|+f(x,u),xɛΩ;u=0,xɛ∂Ωwhere n = p . The authors prove that a Hardy inequality and the constant (pp-1)pis optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yangxin Yao, Yaotian Shen,