Results 261 to 270 of about 2,064,106 (289)

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
openaire   +1 more source

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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A Kinetically Stabilized Nitrogen‐Doped Triangulene Cation: Stable and NIR Fluorescent Diradical Cation with Triplet Ground State

Angewandte Chemie - International Edition, 2023
Akihiro Shimizu, Daisuke Shiomi, Kazunobu Sato   +2 more
exaly  

Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional

Journal of Computational Physics, 2003
Weizhu Bao
exaly  

The Transcriptional and Epigenomic Foundations of Ground State Pluripotency

Cell, 2012
Hendrik Marks, Jennifer Nichols, Andrea Kranz   +2 more
exaly  

Ground State of N Coupled Nonlinear Schr�dinger Equations in Rn,n?3

Communications in Mathematical Physics, 2005
Tai-Chia Lin, Juncheng Wei
exaly  

Quantum ground state and single-phonon control of a mechanical resonator

Nature, 2010
Erik Lucero, Andrew Cleland
exaly