Results 301 to 310 of about 2,059,051 (311)

Ground state solutions for a coupled Kirchhoff‐type system

Mathematical Methods in the Applied Sciences, 2015
In this paper, we consider the coupled Kirchhoff‐type system urn:x-wiley:mma:media:mma3414:mma3414-math-0488 where ε is a small positive parameter and ai>0, bi≥0 are constants for i = 1,2, P,Q are positive continuous potentials satisfying some conditions.
Lü, Dengfeng, Xiao, Jianhai
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Three ground state solutions for double phase problem

Journal of Mathematical Physics, 2018
Using the variational method, we obtain three ground state solutions (one positive, one negative, and one sign-changing) for the double phase problem. In particular, a strong maximum principle for the double phase problem will be proved.
Liu, Wulong, Dai, Guowei
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On ground state solutions for superlinear Dirac equation

Acta Mathematica Scientia, 2014
Abstract This article is concerned with the nonlinear Dirac equations − i ∂ t ψ = i c ℏ ∑ k = 1 3 α k ∂ k ψ − m c 2 β ψ + R ψ ( x , ψ ) in ℝ 3 . Under suitable assumptions on the nonlinearity, we establish the existence of ground state solutions by the generalized ...
Jian ZHANG, Xianhua TANG, Wen ZHANG
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Ground state solutions for the quasilinear Schrödinger equation

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Guo, Yuxia, Tang, Zhongwei
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Non-periodic discrete Schrödinger equations: ground state solutions

Zeitschrift für angewandte Mathematik und Physik, 2016
The existence of ground state solutions i.e., non-trivial solutions with least possible energy of the following discrete nonlinear equation \[ -\Delta u_{n}+V_{n}-\omega u_{n}=\sigma g_{n}(u_{n}),\quad n\in\mathbb Z,\quad \lim_{ |n|\to\infty}u_{n}=0, \] is established. An example illustrating the results is given.
Chen, Guanwei, Schechter, Martin
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Normalized ground state solutions for Kirchhoff type systems

Journal of Mathematical Physics, 2021
We consider the existence of ground state solutions for nonlinear Kirchhoff type systems in the whole space RN (2 ≤ N ≤ 4) with prescribed normalization. Two cases are studied: one is L2-supercritical and the other is mixed. In the first case, assuming that the coupling coefficient is big enough, we prove the existence of a ground state solution via ...
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Ground state solutions for generalized quasilinear Schrödinger equations

Asymptotic Analysis
In this paper we consider the generalized quasilinear Schrödinger equations − div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) | ∇ u | 2 + V ( x ) u = h ( x , u ) , x ∈ R N , where V and h are periodic in x i , 1 ⩽ i ⩽ N. By using variational methods, we prove the existence of ground state solutions, i.e., nontrivial solutions with least possible energy.
Fang, Xiang-Dong, Han, Zhi-Qing
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GROUND STATE SOLUTIONS FOR A NONLOCAL PROBLEM

Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics
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Ground-State Solution of the Nonrelativistic Equation for Helium

Physical Review, 1956
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Ground State Solution of Dongfang Modified Dirac Equation

2022
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