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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ground State Homoclinic Solutions for Damped Vibration Systems with Periodicity

Differential Equations and Dynamical Systems
Homoclinic 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, 2021
Bingyuan Liu, Zhaosheng Feng, Yu Su
exaly  

On the ground state solution for a critical fractional Laplacian equation

Nonlinear Analysis: Theory, Methods & Applications, 2013
Xiaohui Yu
exaly  

Existence of a ground state solution for Choquard equation with the upper critical exponent

Computers and Mathematics With Applications, 2018
Chun-Lei Tang
exaly  

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