Resonant Neumann equations with indefinite linear part
DOI:
https://doi.org/10.12775/TMNA.2015.023Keywords
Resonant equation, critical groups, reduction method, multiple solutions, unique continuation propertyAbstract
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.Downloads
Published
2015-06-01
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1.
LIVREA, Roberto, PAPAGEORGIOU, Nikolaos S. and BARLETTA, Giuseppina. Resonant Neumann equations with indefinite linear part. Topological Methods in Nonlinear Analysis. Online. 1 June 2015. Vol. 45, no. 2, pp. 469 - 491. [Accessed 28 March 2024]. DOI 10.12775/TMNA.2015.023.
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