Existence of solutions for critical Henon equations in hyperbolic spaces
In this article, we use variational methods to prove that for a suitable value of $lambda$, the problem $$displaylines{ -Delta_{mathbb{B}^N}u=(d(x))^{alpha}|u|^{2^{*}-2}u+lambda u, quad ugeq 0,quad uin H_0^1(Omega') }$$ possesses at least one non-trivial solution u as $alphao 0^+$, where...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2013-01-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2013/05/abstr.html |