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.
Multiple solutions for a problem with resonance involving the -Laplacian.
Alves, C.O., Carrião, P.C., Miyagaki, O.H. (1998)
Abstract and Applied Analysis
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Three solutions of a quasilinear elliptic problem near resonance
To Fu Ma, Luis Sanchez (1997)
Mathematica Slovaca
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Superlinear elliptic boundary value problems
Ravindran Kannan, Rafael Ortega (1987)
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Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
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.