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• W3092776627 startingPage "1792" @default.
• W3092776627 abstract "We are concerned with the following elliptic equations: (−Δ)psv+V(x)|v|p−2v=λa(x)|v|r−2v+g(x,v)inRN, where (−Δ)ps is the fractional p-Laplacian operator with 0<s<1<r<p<+∞, sp<N, the potential function V:RN→(0,∞) is a continuous potential function, and g:RN×R→R satisfies a Carathéodory condition. By employing the mountain pass theorem and a variant of Ekeland’s variational principle as the major tools, we show that the problem above admits at least two distinct non-trivial solutions for the case of a combined effect of concave–convex nonlinearities. Moreover, we present a result on the existence of multiple solutions to the given problem by utilizing the well-known fountain theorem." @default.
• W3092776627 created "2020-10-22" @default.
• W3092776627 creator A5014141624 @default.
• W3092776627 date "2020-10-15" @default.
• W3092776627 modified "2023-10-10" @default.
• W3092776627 title "Existence and Multiplicity of Solutions to a Class of Fractional p-Laplacian Equations of Schrödinger-Type with Concave-Convex Nonlinearities in ℝN" @default.
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• W3092776627 doi "https://doi.org/10.3390/math8101792" @default.
• W3092776627 hasPublicationYear "2020" @default.
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