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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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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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Non-periodic discrete Schrödinger equations: ground state solutions
Zeitschrift für angewandte Mathematik und Physik, 2016The 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, 2021We 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 AnalysisIn 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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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