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Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems

✍ Scribed by H. Hajaiej; C.A. Stuart


Publisher
Springer
Year
2005
Tongue
English
Weight
396 KB
Volume
184
Category
Article
ISSN
0373-3114

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## In this paper, we consider a problem of the type -AU = X(j(u)+pg(u)) in R, ~10~ = 0, where R c R" is an open-bounded set, f,g are continuous real functions on Fl, and X,/J E R. As an application of a new approach to nonlinear eigenvalues problems, we prove that, under suitable hypotheses, if 1