A fibering map approach to a semilinear elliptic boundary value problem
We prove the existence of at least two positive solutions for the semilinear elliptic boundary-value problem $$ -Delta u(x) = lambda a(x) u^q + b(x) u^p quadmbox{for } x in Omega; quad u(x) = 0 quad mbox{for } x in partial Omega $$ on a bounded region $Omega$ by using the Nehari manifold and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/69/abstr.html |