Results 11 to 20 of about 2,722,864 (361)
Ground state solutions for the nonlinear Schrödinger–Maxwell equations
Journal of Mathematical Analysis and Applications, 2008 27 ...
Azzollini, A., POMPONIO, Alessio
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Ground state solutions for p-biharmonic equations
Electronic Journal of Differential Equations, 2017 In this article we study the p-biharmonic equation $$ \Delta_p^2u+V(x)|u|^{p-2}u=f(x,u),\quad x\in\mathbb{R}^N, $$ where $\Delta_p^2u=\Delta(|\Delta u|^{p-2}\Delta u)$ is the p-biharmonic operator.
Xiaonan Liu +2 more
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Ground state solutions for a diffusion system
Computers & Mathematics with Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen, Tang, Xianhua, Zhang, Jian
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A global approach to ground state solutions
Electronic Journal of Differential Equations, 2008 We study radial solutions of semilinear Laplace equations. We try to understand all solutions of the problem, regardless of the boundary behavior. It turns out that one can study uniqueness or multiplicity properties of ground state solutions by ...
Philip Korman
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Ground state solutions fora nonlinear Choquard equation
, 2016 We discuss the existence of ground state solutions for the Choquard equation $$- u=(I_ *F(u))F'(u)\quad\quad\quad\text{in }\mathbb R^N.$$ We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity $F(u)=\frac{|u|^p}p$.
Luca Battaglia
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Ground state solutions for Schrödinger-Born-Infeld equations
Matemática Contemporânea, 2022 Summary: In this note we revise the arguments used to find ground states solutions for an elliptic system which envolves the Schrödinger equation coupled with the electrostatic equation of the Born-Infeld electromagnetic theory. The main difficulties are related to the second equation of the system which is nonlinear.
Gaetano Siciliano
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Ground state solutions for quasilinear Schrodinger equations with periodic potential
Electronic Journal of Differential Equations, 2020 This article concerns the quasilinear Schrodinger equation $$\displaylines{ -\Delta u-u\Delta (u^2)+V(x)u=K(x)|u|^{2\cdot2^*-2}u+g(x,u),\quad x\in\mathbb{R}^N, \cr u\in H^1(\mathbb{R}^N),\quad u>0, }$$ where V and K are positive, continuous and ...
Jing Zhang, Chao Ji
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Ground state solutions for Hamiltonian elliptic system with inverse square potential
Discrete and Continuous Dynamical Systems, 2017 In this paper, we study the following Hamiltonian elliptic system with gradient term and inverse square potential \begin{document}$ \left\{ \begin{array}{ll}-\Delta u +\vec{b}(x)\cdot \nabla u +V(x)u-\frac{\mu}{|x|^{2}}v=H_{v}(x,u,v)\\-\Delta v -\vec{b ...
Jian Zhang, Wen Zhang, Xianhua Tang
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Ground state solutions for some indefinite variational problems
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szulkin, Andrzej, Weth, Tobias
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Normalized Ground State Solutions of Nonlinear Schrödinger Equations Involving Exponential Critical Growth [PDF]
Journal of Geometric Analysis, 2022 We are concerned with the following nonlinear Schrödinger equation: $$\begin{aligned} \begin{aligned} {\left\{ \begin{array}{ll} -\Delta u+\lambda u=f(u) \ \ \textrm{in}\ \mathbb {R}^{2},\\ u\in H^{1}(\mathbb {R}^{2}),~~~ \int _{\mathbb {R}^2}u^2dx=\rho ,
Xiaojun Chang, Man Liu, Duokui Yan
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