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Normalized Ground-State Solution for the Schrödinger–KdV System
Mediterranean Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fei-Fei Liang +2 more
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Normalized Ground State Solutions for Critical Growth Schrödinger Equations
Qualitative Theory of Dynamical Systems, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Song, Li, Gui-Dong
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Ground State Solutions for a Quasilinear Schrödinger Equation
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Jian, Lin, Xiaoyan, Tang, Xianhua
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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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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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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 of the Hubbard model
Physical Review B, 1983The ground-state solutions of the Hubbard model are studied. A two-sublattice formalism is developed in order to allow ferromagnetic, ferrimagnetic, and antiferromagnetic solutions. The electronic structure is solved within the Bethe-lattice method and the size of the local moments on each sublattice are determinated in a self-consistent manner.
J. Dorantes-Dávila +2 more
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Ground state solution for strongly indefinite Choquard system
Nonlinear Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jianqing, Zhang, Qian
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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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Three ground state solutions for double phase problem
Journal of Mathematical Physics, 2018Using 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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