Abstract
On a class of superlinear nonlocal fractional problems without Ambrosetti–Rabinowitz type conditions
Highlights
Introduction and main resultsRecently, the fractional and non-local operators of elliptic type have been widely investigated
The present study is concerned with the multiplicity of nontrivial weak solutions for the nonlocal fractional equations, namely
In order to discuss problem (1.1), we need some facts on space X0 which are called fractional Sobolev space
Summary
The fractional and non-local operators of elliptic type have been widely investigated. The aim of this study, as in [1], is to determine the precise positive interval of for which problem (1.1) admits at least two nontrivial solutions using abstract critical point theorems. There exists a positive constant λ0 such that the problem (1.1) admits at least two distinct weak solutions for each λ ∈ (0, λ0).
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