Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Fernández Bonder, Julián (2004)
Abstract and Applied Analysis
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Alves, C.O., Carrião, P.C., Miyagaki, O.H. (1998)
Abstract and Applied Analysis
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Mathematica Slovaca
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Ravindran Kannan, Rafael Ortega (1987)
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Dimitri Mugnai (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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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.