Existence of positive solutions to a superlinear elliptic problem
We study the existence of positive solutions to the semilinear elliptic problem $$ - epsilon^2 Delta u + V(z) u = f(u) $$ in $mathbb{R}^N$ ($Ngeq 2$), where the function $f$ has superlinear growth at infinity without any restriction from aboveon its growth.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2001-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/11/abstr.html |