Resonant Neumann equations with indefinite linear part
KeywordsResonant equation, critical groups, reduction method, multiple solutions, unique continuation property
AbstractWe 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.
How to Cite
LIVREA, Roberto, PAPAGEORGIOU, Nikolaos S. & BARLETTA, Giuseppina. Resonant Neumann equations with indefinite linear part. Topological Methods in Nonlinear Analysis [online]. 1 June 2015, T. 45, nr 2, s. 469–491. [accessed 8.12.2021]. DOI 10.12775/TMNA.2015.023.
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