Results 41 to 50 of about 1,216,221 (148)

Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation

Advances in Nonlinear Analysis, 2020
In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard ...
Binhua Feng, Chen Ruipeng, Liu Jiayin
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Existence of Multiple Positive Solutions for Choquard Equation with Perturbation [PDF]

, 2020
This paper is concerned with the following Choquard equation with perturbation: where ≥ 3, ∈ (0, ), and 2 − ( / ) < < (2 − )/( − 2). This kind of equations is well known as the Choquard or nonlinear Schrödinger-Newton equation.
Jun Wang, Tao Xie, Lu Xiao
core  

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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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., Giacomoni, J., Mukherjee, T., Sreenadh, K.   +3 more
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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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Existence of ground state solutions for quasilinear Schrödinger equations with general Choquard type nonlinearity

Boundary Value Problems, 2020
In this paper, we study the following Choquard type quasilinear Schrödinger equation: − Δ u + u − Δ ( u 2 ) u = ( I α ∗ G ( u ) ) g ( u ) , x ∈ R N , $$ -\Delta u+u-\Delta \bigl(u^{2}\bigr)u=\bigl(I_{\alpha }*G(u) \bigr)g(u),\quad x\in {\mathbb{R}}^{N}, $
Yu-bo He, Jue-liang Zhou, Xiao-yan Lin
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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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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, Vicenţiu D. Rădulescu, Leandro S. Tavares   +2 more
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Sign-Changing Solutions for the Fractional Choquard Equation

Axioms
We study a class of fractional Choquard equation with continuous potential. This equation is a doubly nonlocal problem which has two nonlocal term: fractional Laplacian operator and convolution term. Using variaotional metheod and some estimates, we give
Ying-Xin Cui, Qiaoyan Li
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Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

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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