Domain geometry and the Pohozaev identity
In this paper, we investigate the boundary between existence and nonexistence for positive solutions of Dirichlet problem $Delta u + f(u) = 0$, where $f$ has supercritical growth. Pohozaev showed that for convex or polar domains, no positive solutions may be found. Ding and others showed that for do...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/32/astr.html |