Linking over cones and nontrivial solutions for p-Laplace equations with p-superlinear nonlinearity

Marco Degiovanni; Sergio Lancelotti

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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.