Existence of multiple solutions to elliptic equations satisfying a global eigenvalue-crossing condition
We study the multiplicity of solutions to the elliptic equation $Delta u+ f(x,u)=0$, under the assumption that f(x,u)/u crosses globally but not pointwise any eigenvalue for every x in a part of the domain, when u varies from $-infty$ to $infty$. Also we relax the conditions on uniform converge...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/145/abstr.html |