Positive solutions of elliptic equations with discontinuous nonlinearities
Słowa kluczowe
elliptic equations, discontinuous nonlinearities, positive solutions, existence theoremsAbstrakt
In this paper an existence theorem of positive solutions to the Dirichlet problem for elliptic equations having nonlinear terms with an uncountable set of discontinuities is established. Some applications to special cases, such as problems with critical Sobolev growth, are also presented. The approach taken is strictly based on set-valued analysis and fixed point arguments.Pobrania
Opublikowane
1996-12-01
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1.
BONANNO, Gabriele & MARANO, Salvatore A. Positive solutions of elliptic equations with discontinuous nonlinearities. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 1996, T. 8, nr 2, s. 263–273. [udostępniono 22.7.2024].
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