Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree–Fock theory
We are interested in a general Choquard equation− Δ+ m 2 u− m u+ V (x) u− μ| x| u=∫ RNF
(y, u (y))| x− y| N− α dyf (x, u)− K (x)| u| q− 2 u under suitable assumptions on the bounded …
(y, u (y))| x− y| N− α dyf (x, u)− K (x)| u| q− 2 u under suitable assumptions on the bounded …
On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials
H Mi, W Zhang, F Liao - Asymptotic Analysis, 2023 - content.iospress.com
This paper is concerned with a class of fractional Schrödinger equation with Hardy potential
(−) su+ V (x) u− κ| x| 2s u= f (x, u), x∈ RN, where s∈(0, 1) and κ⩾ 0 is a parameter. Under …
(−) su+ V (x) u− κ| x| 2s u= f (x, u), x∈ RN, where s∈(0, 1) and κ⩾ 0 is a parameter. Under …
On the ground states for the X‐ray free electron lasers Schrödinger equation
H Hu, Y Li, D Zhao - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
We consider the following X‐ray free electron lasers Schrödinger equation (i∇− A) 2 u+ V
(x) u− μ| x| u= 1| x|∗| u| 2 u− K (x)| u| q− 2 u, x∈ ℝ 3,\left (i ∇-A\right) &# x0005E; 2u&# …
(x) u− μ| x| u= 1| x|∗| u| 2 u− K (x)| u| q− 2 u, x∈ ℝ 3,\left (i ∇-A\right) &# x0005E; 2u&# …
Different approaches in Critical Point Theory for entire Schrödinger equations and one for curl-curl problems
F Bernini - 2022 - boa.unimib.it
The purpose of this thesis is to show the results obtained for three Schrödinger type elliptic
partial differential equations. These equations, although sharing the feature of being entire …
partial differential equations. These equations, although sharing the feature of being entire …
Bound state solutions for non-autonomous fractional Schr\"{o} dinger-Poisson equations with critical exponent
K Li - arXiv preprint arXiv:1905.11643, 2019 - arxiv.org
In this paper, we study the fractional Schr\"{o} dinger-Poisson equation\begin
{equation*}\\left\{\begin {aligned} & (-\Delta)^{s} u+ V (x) u+ K (x)\phi u=| u|^{2^{\ast} _ {s}-2} …
{equation*}\\left\{\begin {aligned} & (-\Delta)^{s} u+ V (x) u+ K (x)\phi u=| u|^{2^{\ast} _ {s}-2} …
Ground states for a fractional Schrödinger–Poisson system involving Hardy potentials
X Duan, G Wei, H Yang - Applicable Analysis, 2022 - Taylor & Francis
Full article: Ground states for a fractional Schrödinger–Poisson system involving Hardy potentials
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …
Ground states for a coupled Schrödinger system with general nonlinearities
X Duan, G Wei, H Yang - Boundary Value Problems, 2020 - Springer
We study a coupled Schrödinger system with general nonlinearities. By using variational
methods, we prove the existence and asymptotic behaviour of ground state solution for the …
methods, we prove the existence and asymptotic behaviour of ground state solution for the …