Results 131 to 140 of about 446 (156)
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MULTIPLE SOLUTIONS OF NONHOMOGENEOUS FOR RELATED CHOQUARD’S EQUATION
Acta Mathematica Scientia, 2000Summary: This paper considers the existence of solutions for the following problem: \[ -\Delta u+ u+ v(x)u= \Biggl(|u|^2*{1\over|x|}\Biggr) u+ g(x),\quad x\in\mathbb{R}^3, \] where \(v(x)\) be a continuous function on \(\mathbb{R}^2\), \(v(x)< 0\), \(v(x)\to 0\) (as \(|x|\to\infty\)); \(g(x)\geq 0\), \(g(x)\not\equiv 0\) and \(g(x)\in H^{-1}(\mathbb{R}^
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On nodal solutions of the fractional Choquard equation
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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EXISTENCE OF A NONTRIVIAL SOLUTION FOR CHOQUARD'S EQUATION
Acta Mathematica Scientia, 2006Abstract In this article, the authors consider the existence of a nontrivial solution for the following equation: - Δ u + u = q ( x ) ( | u | 2 * 1 | x | ) u , x ∈ ℝ 3 , where q(x) satisfies some conditions.
Zhengjie Zhang +3 more
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Decay estimates for the sublinear Choquard equation and applications
Journal of Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiankang Xia, Chengxiang Zhang, Xu Zhang
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Existence and Concentration of Solutions for a Nonlinear Choquard Equation
Mediterranean Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiplicity and concentration behavior of solutions of the critical Choquard equation
Applicable Analysis, 2021Weiran Lu
exaly
Concentration behavior of ground states for a generalized quasilinear Choquard equation
Mathematical Methods in the Applied Sciences, 2020Xianyong Yang +2 more
exaly
Ground state solutions for a generalized quasilinear Choquard equation
Mathematical Methods in the Applied Sciences, 2021Chao Ji
exaly