Existence of bound state solutions for degenerate singular perturbation problems with sign-changing potentials
In this article, we study the degenerate singular perturbation problems $$displaylines{ -varepsilon^2hbox{div}(|x|^{-2a}abla u)+|x|^{-2(a+1)}V(x)u = |x|^{-b2^*(a,b)}g(x,u),cr -hbox{div}(|x|^{-2a}abla u)+ lambda |x|^{-2(a+1)}V(x)u = |x|^{-b2^*(a,b)}g(x,u), }$$ for $varepsilon$ small and $lambd...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/109/abstr.html |