Nontrivial solutions for asymmetric problems on R^N
We consider the elliptic equation $$ -\Delta u+V(x)u= f(x,u), \quad x\in \mathbb{R}^n, \quad u\in H^1(\mathbb{R}^N),\; N\geq 2, $$ where $V(x)\in C(\mathbb{R}^N)$ and $V(x)\geq V_0>0$ for all $x\in \mathbb{R}^N$. The nonlinear term $f$ exhibits an asymmetric growth at $+\infty$ and $-\in...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/252/abstr.html |