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Ground state solutions for the generalized extensible beam equations
Applied Mathematics Letters, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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UNIQUENESS OF GROUND STATE SOLUTIONS
Acta Mathematica Scientia, 1988Summary: We discuss the uniqueness of ground state solutions of the problem \[ \Delta u+f(u)=0\quad in\quad R^ n;\quad u(x)\to 0\quad as\quad | x| \to \infty, \] where \(N>2\), f(u) satisfies some conditions which ensure the existence of a ground state solution.
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Ground state solutions for a coupled Kirchhoff‐type system
Mathematical Methods in the Applied Sciences, 2015In 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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GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS
Journal of the Australian Mathematical Society, 2014AbstractIn this paper, we deduce new conditions for the existence of ground state solutions for the$p$-Laplacian equation$$\begin{equation*} \left \{ \begin{array}{@{}ll} -\mathrm {div}(|\nabla u|^{p-2}\nabla u)+V(x)|u|^{p-2}u=f(x, u), \quad x\in {\mathbb {R}}^{N},\\[5pt] u\in W^{1, p}({\mathbb {R}}^{N}), \end{array} \right .
Chen, Yi, Tang, X. H.
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Positive ground state solutions for the Chern–Simons–Schrödinger system
Analysis and Mathematical Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Liping, Chen, Haibo
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Ground state solutions for the quasilinear Schrödinger equation
Nonlinear Analysis: Theory, Methods & Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yuxia, Tang, Zhongwei
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Ground states solutions for nonlinear Dirac equations
Ricerche di Matematica, 2022This paper concerns the ground state solutions for the partial differential equations known as the Dirac equations. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.
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On ground state solutions for superlinear Dirac equation
Acta Mathematica Scientia, 2014Abstract 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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Exact solution for the ground state of a confined potential
Canadian Journal of Physics, 1997An Ansatz for the wave function is used to obtain an exact solution for the ground-state energy for the potential T Eo '@o n Ko n So in an impenetrable spherical box, provided a certain constraint is satisfied between the potential parameters, @cKc and S. Two types of solution are shown to exist.
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On the function of action on a manifold of ground state solutions
Theoretical and Mathematical Physics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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