Structure of ground state solutions for singular elliptic equations with a quadratic gradient term
We establish results on existence, non-existence, and asymptotic behavior of ground state solutions for the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)| abla u |^2 + lambdapsi(x) f(u) quadhbox{in } mathbb{R}^N,\ u > 0 quadhbox{in } mathbb{R}^N,quad lim_{|x| o infty}...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2011-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/70/abstr.html |