Results 31 to 40 of about 2,722,864 (361)

Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation

Open Mathematics, 2021
In this paper, we study the following generalized Kadomtsev-Petviashvili equation ut+uxxx+(h(u))x=Dx−1Δyu,{u}_{t}+{u}_{xxx}+{\left(h\left(u))}_{x}={D}_{x}^{-1}{\Delta }_{y}u, where (t,x,y)∈R+×R×RN−1\left(t,x,y)\in {{\mathbb{R}}}^{+}\times {\mathbb{R ...
Zhu Yuting, Chen Chunfang, Chen Jianhua, Yuan Chenggui   +3 more
doaj   +1 more source

Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations

Journal of Differential Equations, 2020
In this paper, we study the following singularly perturbed Schrodinger-Poisson system { − e 2 △ u + V ( x ) u + ϕ u = f ( u ) + u 5 , x ∈ R 3 , − e 2 △ ϕ = u 2 , x ∈ R 3 , where e is a small positive parameter, V ∈ C ( R 3 , R ) and f ∈ C ( R , R ...
Sitong Chen, A. Fiscella, P. Pucci, Xianhua Tang   +3 more
semanticscholar   +1 more source

Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

Advances in Nonlinear Analysis, 2021
This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
doaj   +1 more source

Asymptotic Search for Ground States of SU(2) Matrix Theory [PDF]

, 1997
We introduce a complete set of gauge-invariant variables and a generalized Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic solutions of the Schrodinger equation of SU(2) matrix theory.
Banks T., Born M., C. SCHWARTZ, Dalgarno A., Itoyama H., M. B. HALPERN   +5 more
core   +2 more sources

Existence and symmetry results for competing variational systems [PDF]

, 2012
In this paper we consider a class of gradient systems of type $$ -c_i \Delta u_i + V_i(x)u_i=P_{u_i}(u),\quad u_1,..., u_k>0 \text{in}\Omega, \qquad u_1=...=u_k=0 \text{on} \partial \Omega, $$ in a bounded domain $\Omega\subseteq \R^N$.
Tavares, Hugo, Weth, Tobias
core   +1 more source

Ground state sign-changing solutions for semilinear Dirichlet problems

Boundary Value Problems, 2018
In the present paper, we consider the existence of ground state sign-changing solutions for the semilinear Dirichlet problem 0.1 {−△u+λu=f(x,u),x∈Ω;u=0,x∈∂Ω, $$ \left \{ \textstyle\begin{array}{l@{\quad}l} -\triangle u+\lambda u=f(x, u), & \hbox{$x\in ...
Xiaoyan Lin, Xianhua Tang
doaj   +1 more source

Supersymmetry of gravitational ground states [PDF]

, 2002
A class of black objects which are solutions of pure gravity with negative cosmological constant are classified through the mapping between the Killing spinors of the ground state and those of the transverse section.
A. Kehagias, A. Salam, A. Sen, B. Ghosh, C. Bär, Cristián Martínez, D. Birmingham, E. Witten, E. Witten, E. Witten, H. Baum, J.A. Wolf, J.M. Figueroa-O'Farrill, Jorge Zanelli, M. Bañados, M. Berger, M. Berger, M. Wang, O. Aharony, R. Schoen, R. Troncoso, R. Troncoso, Ricardo Troncoso, Rodrigo Aros, S. Weinberg   +24 more
core   +2 more sources

Ground state solutions for periodic Discrete nonlinear Schrödinger equations

AIMS Mathematics, 2021
<abstract><p>In this paper, we consider the following periodic discrete nonlinear Schrödinger equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} Lu_{n}-\omega u_{n} = g_{n}(u_{n}), \qquad n = (n_{1}, n_{2}, ..., n_{m})\in \mathbb{Z}^{m}, \end{equation*} $\end ...
Xionghui Xu, Jijiang Sun
openaire   +2 more sources

Ground state solutions to a class of critical Schrödinger problem

Advances in Nonlinear Analysis, 2021
We consider the following critical nonlocal Schrödinger problem with general ...
Mao Anmin, Mo Shuai
doaj   +1 more source

A Note on Inhomogeneous Ground States at Large Global Charge [PDF]

, 2017
In this note we search for the ground state, in infinite volume, of the $D=3$ Wilson-Fisher conformal $O(4)$ model, at nonzero values of the two independent charge densities $\rho_{1,2}$.
Hellerman, Simeon, Kobayashi, Nozomu, Maeda, Shunsuke, Watanabe, Masataka   +3 more
core   +2 more sources