A minmax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems
In this article we apply the minmax principle we developed in [6] to obtain sign-changing solutions for superlinear and asymptotically linear Dirichlet problems. We prove that, when isolated, the local degree of any solution given by this minmax principle is $+1$. By combining the results of [6] wit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1998-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/02/abstr.html |