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- W2617850882 abstract "In this paper, 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. Furthermore, we give an extension of Ambrosetti–Rabinowitz condition, a non-Ambrosetti–Rabinowitz condition and apply to study the fractional Laplacian equation. We obtain some different existence results in this setting by using Fountain Theorem. Our results are extension of some problems studied by Bisci et al. (2016) and Binlin et al. (2015)." @default.
- W2617850882 created "2017-06-05" @default.
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- W2617850882 date "2017-12-01" @default.
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- W2617850882 title "Nontrivial solutions of some fractional problems" @default.
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- W2617850882 doi "https://doi.org/10.1016/j.nonrwa.2017.04.009" @default.
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