Results 291 to 300 of about 2,059,051 (311)
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Ground state solution to the biharmonic equation

Zeitschrift für angewandte Mathematik und Physik, 2021
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Zhaosheng Feng, Yu Su
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Ground state solutions of a fractional advection–dispersion equation

Mathematical Methods in the Applied Sciences, 2022
In this paper, a class of fractional Sturm–Liouville advection–dispersion equations with instantaneous and noninstantaneous impulsive boundary conditions is considered. At the beginning, the existence of at least one nontrivial ground state solution is proved by the method of Nehari manifold without the Ambrosetti–Rabinowitz condition.
Yan Qiao, Fangqi Chen, Yukun An
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Normalized Ground-State Solution for the Schrödinger–KdV System

Mediterranean Journal of Mathematics, 2022
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Fei-Fei Liang   +2 more
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Normalized Ground State Solutions for Critical Growth Schrödinger Equations

Qualitative Theory of Dynamical Systems, 2023
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Fan, Song, Li, Gui-Dong
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Ground State Solutions for a Quasilinear Schrödinger Equation

Mediterranean Journal of Mathematics, 2017
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Zhang, Jian, Lin, Xiaoyan, Tang, Xianhua
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GROUND STATE SOLUTIONS FOR -SUPERLINEAR -LAPLACIAN EQUATIONS

Journal of the Australian Mathematical Society, 2014
AbstractIn 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, 2022
This 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, 1988
Summary: 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, 1983
The 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, 2022
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Chen, Jianqing, Zhang, Qian
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