Results 21 to 30 of about 2,059,051 (311)
Ground state solutions for Schrödinger-Born-Infeld equations
Matemática Contemporânea, 2022 Summary: In this note we revise the arguments used to find ground states solutions for an elliptic system which envolves the Schrödinger equation coupled with the electrostatic equation of the Born-Infeld electromagnetic theory. The main difficulties are related to the second equation of the system which is nonlinear.
Gaetano Siciliano
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Ground state solutions for the nonlinear Schrödinger–Maxwell equations
Journal of Mathematical Analysis and Applications, 2008 27 ...
Azzollini, A., POMPONIO, Alessio
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Positive solutions of Schrödinger-Kirchhoff-Poisson system without compact condition
Boundary Value Problems, 2017 Purpose The existence of positive solutions for a class of nonlinear Schrödinger-Kirchhoff-Poisson systems. Methods Variational method. Results Some results on the existence of positive solutions.
Fengxia Liu, Shuli Wang
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Boundary Value Problems, 2020 In this paper, we consider the existence of a least energy nodal solution and a ground state solution, energy doubling property and asymptotic behavior of solutions of the following critical problem: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u + λ ...
Chungen Liu, Hua-Bo Zhang
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On weak interaction between a ground state and a trapping potential [PDF]
, 2014 We study the interaction of a ground state with a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very fast.Comment: 34
Cuccagna, Scipio, Maeda, Masaya
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Ground state solutions fora nonlinear Choquard equation
, 2016 We discuss the existence of ground state solutions for the Choquard equation $$- u=(I_ *F(u))F'(u)\quad\quad\quad\text{in }\mathbb R^N.$$ We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity $F(u)=\frac{|u|^p}p$.
Luca Battaglia
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Exactly solvable pairing model for superconductors with a p+ip-wave symmetry [PDF]
, 2009 We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with p_x + i p_y symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parameterized by the filling fraction and ...
G. E. Volovik +4 more
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Ground state solution for a class of magnetic equation with general convolution nonlinearity
AIMS Mathematics, 2021 In this paper, we consider the following magnetic Laplace nonlinear Choquard equation $ \begin{equation*} -\Delta_A u+V(x)u = (I_{\alpha}*F(|u|))\frac{f(|u|)}{|u|}u, \, \, \text{in}\, \, \mathbb{R}^N, \ \end{equation*} $ where $ u: \mathbb{R}^N ...
Li Zhou, Chuanxi Zhu
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Ground-state Properties of Small-Size Nonlinear Dynamical Lattices [PDF]
, 2006 We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the contexts of ...
A. Vezzani +6 more
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Ground states for a coupled Schrödinger system with general nonlinearities
Boundary Value Problems, 2020 We study a coupled Schrödinger system with general nonlinearities. By using variational methods, we prove the existence and asymptotic behaviour of ground state solution for the system with periodic couplings.
Xueliang Duan, Gongming Wei, Haitao Yang
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