Ground states and multiple solutions for the Hénon equation
AIP Conference Proceedings, 2006In 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, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ground-State Solution of the Nonrelativistic Equation for Helium
Physical Review, 1956openaire +1 more source
Non-degeneracy of the ground state solution on nonlinear Schrödinger equation
Applied Mathematics Letters, 2021Shuying Tian
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Ground State Homoclinic Solutions for Damped Vibration Systems with Periodicity
Differential Equations and Dynamical SystemsHomoclinic solutions play an important role in the study of global bifurcations and complex behavior of dynamical systems in different fields of research. In this paper, the author is concerned with the following periodic damped vibration system \[ \ddot{u}+q(t)\dot{u}-L(t)u+\nabla W(t,u)=0, \] where \(L\in C(\mathbb{R}, \mathbb{R}^{N^2})\) is a ...
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Ground state solution of the thin film epitaxy equation
Journal of Mathematical Analysis and Applications, 2021Bingyuan Liu, Zhaosheng Feng, Yu Su
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Existence of ground state solution for the first order discrete Hamiltonian systems
Applied Mathematics Letters, 2021Guoan Guo
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On the ground state solution for a critical fractional Laplacian equation
Nonlinear Analysis: Theory, Methods & Applications, 2013Xiaohui Yu
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Existence of a ground state solution for Choquard equation with the upper critical exponent
Computers and Mathematics With Applications, 2018Chun-Lei Tang
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Ground state solution on a Kirchhoff type equation involving two potentials
Applied Mathematics Letters, 2019Jiu Liu
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