2017
DOI: 10.1016/j.jmaa.2016.10.069
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Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity

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Cited by 35 publications
(11 citation statements)
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“…There are many studies on the solutions of Kirchhoff's equations. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] We study the fractional Kirchhoff equation with steep potential well. Many studies have investigated the fractional Schrödinger equation, [17][18][19][20][21][22] and recent studies focused on the Kirchhoff type of problem involving the steep potential well.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…There are many studies on the solutions of Kirchhoff's equations. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] We study the fractional Kirchhoff equation with steep potential well. Many studies have investigated the fractional Schrödinger equation, [17][18][19][20][21][22] and recent studies focused on the Kirchhoff type of problem involving the steep potential well.…”
Section: Introduction and Main Resultsmentioning
confidence: 99%
“…In fact, the studies about the existence of the positive solutions, signchanging solutions for a class of elliptic equations, have been studied extensively. For more details about such problems, we refer the reader to [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”
Section: Introduction and The Main Resultsmentioning
confidence: 99%
“…To the best of our knowledge, there are a few results in the literature on the Choquard equation with Kirchhoff term. Taking advantage of the minimization argument on the sign-changing Nehari manifold and a quantitative deformation lemma, Li et al [16] considered the existence and the concentration of sign-changing solutions to Kirchhoff type system with Hartree nonlinearity like the problem (1.5). In the case of superlinear and sublinear growth, Pucci et al [26] studied the equation involving the fractional p-Laplacian with critical exponent, via the mountain pass theorem and Ekeland variation principle, and proved the existence of nonnegative solutions.…”
Section: Xiaorong Luo Anmin Mao and Yanbin Sangmentioning
confidence: 99%