Constant-sign and nodal solutions for a Neumann problem with $p$-Laplacian and equi-diffusive reaction term

Salvatore A. Marano, Nikolaos S. Papageorgiou

Abstract


The existence of both constant and sign-changing (namely, nodal)
solutions to a Neumann boundary-value problem with $p$-Laplacian
and reaction term depending on a positive parameter is
established. Proofs make use of sub- and super-solution techniques
as well as critical point theory.

Keywords


p-Laplacian; Neumann problem; constant-sign solutions; nodal solutions; truncations; sub- and super-solutions; critical groups

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