Resonant Neumann equations with indefinite linear part

Roberto Livrea, Nikolaos S. Papageorgiou, Giuseppina Barletta

DOI: http://dx.doi.org/10.12775/TMNA.2015.023

Abstract


We consider aseminonlinear 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.

Keywords


Resonant equation; critical groups; reduction method; multiple solutions; unique continuation property

Full Text:

Full Text

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism