Resonance and strong resonance for semilinear elliptic equations in R^N
We prove the existence of weak solutions for the semilinear elliptic problem $$ -Delta u=lambda hu+ag(u)+f,quad uin mathcal{D}^{1,2}({mathbb{R}^N}), $$ where $lambda in mathbb{R}$, $fin L^{2N/(N+2)}$, $g:mathbb{R} o mathbb{R}$ is a continuous bounded function, and $h in L^{N/2}cap L^{alpha}$, $alpha...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-12-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/124/abstr.html |