Results 11 to 20 of about 2,058,787 (289)
Ground state solution of a nonlocal boundary-value problem
Electronic Journal of Differential Equations, 2013 In this article, we apply the Nehari manifold method to study the Kirchhoff type equation $$ -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) $$ subject to Dirichlet boundary conditions.
Cyril Joel Batkam
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Ground state solution of a noncooperative elliptic system [PDF]
Differential Equations & Applications, 2013 9 ...
Batkam, Cyril Joel
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Ground state and non-ground state solutions of some strongly coupled elliptic systems [PDF]
Transactions of the American Mathematical Society, 2011 We study an elliptic system of the formLu=|v|p−1vLu = \left | v\right |^{p-1} vandLv=|u|q−1uLv=\left | u\right |^{q-1} uinΩ\Omegawith homogeneous Dirichlet boundary condition, whereLu:=−ΔuLu:=-\Delta uin the case of a bounded domain andLu:=−Δu+uLu:=-\Delta u + uin the cases of an exterior domain or the whole spaceRN\mathbb {R}^N.
Bonheure, Denis +2 more
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Ground state solutions of inhomogeneous Bethe equations [PDF]
SciPost Physics, 2018 The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin- \frac{1}{2} 1
Belliard, Samuel, Faribault, Alexandre
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On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions
Mathematics, 2023 The purpose of this paper is to investigate the existence and asymptotic properties of solutions to a Kirchhoff-type equation with Hardy potential and Berestycki–Lions conditions.
Hua Yang, Jiu Liu
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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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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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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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Ground State Solutions to a Critical Nonlocal Integrodifferential System [PDF]
Advances in Mathematical Physics, 2018 Consider the following nonlocal integrodifferential system: LKu+λ1u+μ1u2⁎-2u+Gu(x,u,v)=0 in Ω, LKv+λ2v+μ2v2⁎-2v+Gv(x,u,v)=0 in Ω, u=0, v=0 in RN∖Ω, where LK is a general nonlocal integrodifferential operator, λ1,λ2,μ1,μ2>0, 2⁎≔2N/N-2s is a fractional Sobolev critical exponent, 0<s<1, N>2s, G(x,u,v) is a lower order perturbation of ...
Min Liu, Zhijing Wang, Zhenyu Guo
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