Results 331 to 340 of about 2,722,864 (361)

Sign-changing ground state solutions for discrete nonlinear Schrödinger equations

Journal of difference equations and applications (Print), 2019
In this paper, we study the existence of least energy sign-changing solutions and ground state solutions for the discrete nonlinear Schrödinger equation where is a sequence of positive numbers, is a constant.
Sitong Chen, Xianhua Tang, Jianshe Yu
semanticscholar   +1 more source

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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Existence and concentration of semiclassical ground state solutions for the generalized Chern–Simons–Schrödinger system inH1(R2)

Nonlinear Analysis, 2019
This paper is concerned with the following singularly perturbed problem in H 1 ( R 2 ) − e 2 Δ u + V ( x ) u + A 0 ( u ( x ) ) u + ∑ j = 1 2 A j 2 ( u ( x ) ) u = f ( u ) , e ( ∂ 1 A 2 ( u ( x ) ) − ∂ 2 A 1 ( u ( x ) ) ) = − 1 2 u 2 , ∂ 1 A 1 ( u ( x ) )
Sitong Chen, Binlin Zhang, Xianhua Tang
semanticscholar   +1 more source

The Existence and Concentration of Ground State Solutions for Chern-Simons-schrödinger Systems with a Steep Well Potential

Acta Mathematica Scientia, 2022
Jin Tan, Yong-Yong Li, Chunlei Tang
semanticscholar   +1 more source

Ground state solutions for the quasilinear Schrödinger equation

Nonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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
openaire   +2 more sources

Sharpened Adams Inequality and Ground State Solutions to the Bi-Laplacian Equation in ℝ4

Advanced Nonlinear Studies, 2018
In this paper, we establish a sharp concentration-compactness principle associated with the singular Adams inequality on the second-order Sobolev spaces in ℝ4{\mathbb{R}^{4}}.
Lu Chen, Jungang Li, Guozhen Lu, Caifeng Zhang   +3 more
semanticscholar   +1 more source

Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth

Mathematical methods in the applied sciences, 2019
We study a class of gauged nonlinear Schrödinger equations −Δu+ωu+λ∫|x|∞h(s)su2(s)ds+h2(|x|)|x|2)u=f(u)inR2,u∈Hr1(R2), where ω,λ>0 and h(s)=∫0sr2u2(r)dr.
Liejun Shen
semanticscholar   +1 more source

Ground state solutions for the generalized extensible beam equations

Applied Mathematics Letters, 2022
Tsung‐fang Wu
semanticscholar   +1 more source

Concentrating ground state solutions for quasilinear Schrödinger equations with steep potential well

, 2019
We are concerned with the following quasilinear Schrödinger equations (1) where , are parameters, V and f are nonnegative continuous functions, is a positive bounded function.
Huifang Jia
semanticscholar   +1 more source