Results 231 to 240 of about 142,338 (258)

Ground state solutions for a coupled Kirchhoff‐type system

Mathematical Methods in the Applied Sciences, 2015
In 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, 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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Positive ground state solutions for the Chern–Simons–Schrödinger system

Analysis and Mathematical Physics, 2022
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Xu, Liping, Chen, Haibo
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Ground state solutions for the quasilinear Schrödinger equation

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Guo, Yuxia, Tang, Zhongwei
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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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Exact solution for the ground state of a confined potential

Canadian Journal of Physics, 1997
An 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, 1995
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Ground states and multiple solutions for the Hénon equation

AIP Conference Proceedings, 2006
In this survey we consider the partial symmetry of non‐radial ground states for the Henon equation (with Dirichlet boundary conditions). We study also the partial symmetry of least energy nodal solutions and the existence of multiple positive solutions.
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Uniqueness of Positive Ground State Solutions of the Logarithmic Schrödinger Equation

Archive for Rational Mechanics and Analysis, 2016
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Ground-State Solution of the Nonrelativistic Equation for Helium

Physical Review, 1956
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