Displaying similar documents to “Existence and bifurcation for some elliptic problems on exterior strip domains.”

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.

Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations