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• W2895082306 abstract "We consider a class of variational systems involving fractional Kirchhoff‐type equations of the form: urn:x-wiley:mma:media:mma5295:mma5295-math-0001 where s ∈ (0,1), N > 2 s , a smooth and bounded domain, the functions F u , F v , M 1 and M 2 are continuous and ( − Δ) s is the fractional Laplacian operator. In this paper, we show that, under appropriate growth conditions on the nonlinearities F u and F v and on the nonnegative functions M 1 and M 2 , the (weak) solutions are precisely the critical points of a related functional defined on a fractional Hilbert space Y (Ω) = X (Ω) × X (Ω) and the existence infinitely many solutions can be obtained by the use of the Krasnoselskii's genus. Besides, a regularity result can also be obtained by using specific results for systems in conjunction with the growth assumptions of these functions." @default.
• W2895082306 created "2018-10-12" @default.
• W2895082306 creator A5041900100 @default.
• W2895082306 creator A5084231180 @default.
• W2895082306 date "2018-10-03" @default.
• W2895082306 modified "2023-09-27" @default.
• W2895082306 title "On a systems involving fractional Kirchhoff-type equations and Krasnoselskii's genus" @default.
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• W2895082306 doi "https://doi.org/10.1002/mma.5295" @default.
• W2895082306 hasPublicationYear "2018" @default.
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