We consider a seminonlinear Neumann problem driven by the p-Laplacian plus an indefinite and unbounded potential. The reaction of the problem is resonant at $pm infty$ with respect to the higher parts of the spectrum. Using critical point theory, truncation and perturbation techniques, Morse theory and the reduction method, we prove two multiplicity theorems. One produces three nontrivial smooth solutions and the second four nontrivial smooth solutions.

Resonant Neumann equations with indefinite linear part.

BARLETTA, Giuseppina
;
2015-01-01

Abstract

We consider a seminonlinear Neumann problem driven by the p-Laplacian plus an indefinite and unbounded potential. The reaction of the problem is resonant at $pm infty$ with respect to the higher parts of the spectrum. Using critical point theory, truncation and perturbation techniques, Morse theory and the reduction method, we prove two multiplicity theorems. One produces three nontrivial smooth solutions and the second four nontrivial smooth solutions.
2015
Resonant equation; critical groups; reduction method
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/6222
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