Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Displaying similar documents to “Existence and multiplicity results for some weakly nonlinear elliptic problems at resonance”
Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
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We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant’s Nodal theorem.