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Existence of a pair of positive solutions for a class of nonlinear eigenvalue problems

✍ Scribed by Michael E. Filippakis; Nikolaos S. Papageorgiou


Publisher
Springer
Year
2009
Tongue
English
Weight
210 KB
Volume
13
Category
Article
ISSN
1385-1292

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Existence of three solutions for a class
✍ B. Ricceri πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 726 KB

## 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