COMPUTATIONAL METHODS FOR NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS
A basic problem is that of finding nontrivial solutions of the following nonlinear eigenvalue problem: $-\Delta$u = $\lambda$F$\prime$ (u) in D, u = 0 on $\partial$D, where D is a domain in R$\sp{\rm N}$, N = 1,2,3, and F$\prime$(u) is non-monotone. Problems of this kind arise, for example, in plasm...
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| Language: | ENG |
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ScholarWorks@UMass Amherst
1987
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| Online Access: | https://scholarworks.umass.edu/dissertations/AAI8727097 |