Giovanni Molica Bisci (Author), Dušan Repovš (Author), Raffaella Servadei (Author)

Abstract

We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence of a superlinear term. Starting from the well-known Ambrosetti-Rabinowitz condition, we consider different growth assumptions on the nonlinearity, all of superlinear type. We obtain three different existence results in this setting by using the Fountain Theorem, which extend some classical results for semilinear Laplacian equations to the nonlocal fractional setting.

Keywords

fractional Laplacian;nonlocal problems;variational method;Fountain theorem;integrodifferential operator;superlinear nonlinearities;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL PEF - Faculty of Education
UDC: 517.95
COBISS: 17671001 Link will open in a new window
ISSN: 0933-7741
Views: 577
Downloads: 404
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Other data

Type (COBISS): Article
Pages: str. 1095-1110
Volume: ǂVol. ǂ28
Issue: ǂiss. ǂ6
Chronology: 2016
DOI: 10.1515/forum-2015-0204
ID: 11231241