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Type: Artigo de Periódico
Title: Infinitely Many Solutions For A Critical Kirchhoff Type Problem Involving A Fractional Operator
Author: Fiscella
Abstract: In this paper, we deal with a Kirchhoff type problem driven by a nonlocal fractional integrodifferential operator L-K, that is, -M(parallel to u parallel to(2))LKu = lambda f(x, u) [integral(Omega) F(x, u(x))d(x)](r) + vertical bar u vertical bar(2*-2)u in Omega, u = 0 in R-n \ Omega, where Omega is an open bounded subset of R-n, M and f are continuous functions, parallel to center dot parallel to is a functional norm, F(x, u(x)) = integral(0) (u(x)) f(x, tau)d tau, 2* is a fractional Sobolev exponent, lambda and r are real parameters. For this problem, we prove the existence of infinitely many solutions, through a suitable truncation argument and exploiting the genus theory introduced by Krasnoselskii.
Subject: Equation
Citation: Differential And Integral Equations. KHAYYAM PUBL CO INC, n. 29, n. 5-6, p. 513 - 530.
Rights: fechado
Identifier DOI: 
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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