Results 41 to 50 of about 446 (156)
On Nodal Solutions of the Nonlinear Choquard Equation
Advanced Nonlinear Studies, 2019 Abstract This paper deals with the general Choquard equation -
Changfeng Gui, Hui Guo
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Liouville theorems for Hénon type Choquard Equation
Communications on Pure and Applied Analysis, 2023 In this paper, the authors study an equation of Choquard type in \(\mathbb{R} ^{N}\): \[ -\Delta u=\left\vert x\right\vert ^{\alpha}\left\vert u\right\vert ^{p-2} u\int_{\mathbb{R}^{N}}\frac{\left\vert y\right\vert ^{\alpha}\left\vert u(y)\right\vert ^{p}}{\left\vert x-y\right\vert ^{N-\mu}}dy, \] where ...
Dong, Jing, He, Haiyang
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Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass
, 2021 We study existence of radially symmetric solutions for the nonlinear Choquard equation. Using a Lagrange formulation of the problem, we develop new deformation arguments under a version of the Palais-Smale condition introduced in the recent papers
Kazunaga Tanaka, Silvia Cingolani
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n-Kirchhoff–Choquard equations with exponential nonlinearity
Nonlinear Analysis, 2019 This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see $(KC)$ below). We use the variational method in the light of Moser-Trudinger inequality to show the existence of weak solutions to $(KC)$.
Arora, R. +3 more
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Infinitely many non-radial solutions for a Choquard equation
Advances in Nonlinear Analysis, 2022 In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
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Generalized Choquard Equations Driven by Nonhomogeneous Operators [PDF]
Mediterranean Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudianor O. Alves +2 more
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Advances in Nonlinear Analysis, 2019 The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain.
Goel Divya, Sreenadh Konijeti
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Least action nodal solutions for the quadratic Choquard equation [PDF]
, 2016 We prove the existence of a minimal action nodal solution for the quadratic Choquard equation (Formula presented), where Iα is the Riesz potential of order α ∈ (0,N).
Vitaly Moroz +4 more
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Existence of Solutions for Choquard Type Elliptic Problems with Doubly Critical Nonlinearities
Advanced Nonlinear Studies, 2021 In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians and the Hardy–Sobolev–Maz’ya potential.
Shen Yansheng
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Multiple solutions for a quasilinear Choquard equation with critical nonlinearity
Open Mathematics, 2021 In the present work, we are concerned with the multiple solutions for quasilinear Choquard equation with critical nonlinearity in RN{{\mathbb{R}}}^{N}.
Li Rui, Song Yueqiang
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