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Segregated solutions for nonlinear Schrödinger systems with a large number of components

open access: yesAdvanced Nonlinear Studies
In this paper we are concerned with the existence of segregated non-radial solutions for nonlinear Schrödinger systems with a large number of components in a weak fully attractive or repulsive regime in presence of a suitable external radial potential.
Chen Haixia, Pistoia Angela
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Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction

open access: yesAdvanced Nonlinear Studies
We are concerned with the following nonlinear Hartree system−Δu+P1(|x|)u=α1|x|−1∗u2u+β|x|−1∗v2u inR3,−Δv+P2(|x|)v=α2|x|−1∗v2v+β|x|−1∗u2v inR3, $$\begin{cases}-{\Delta}u+{P}_{1}\left(\vert x\vert \right)u={\alpha }_{1}\left(\vert x{\vert }^{-1}\ast {u}^{2}
Gao Fashun, Yang Minbo, Zhao Shunneng
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On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media

SIAM Journal on Applied Mathematics, 2021
In this paper, we would like to characterize non-radiating volume and surface (faulting) sources for the elastic waves in anisotropic inhomogeneous media. Each type of the source can be decomposed into a radiating part and a non-radiating part.
Pu-Zhao Kow, Jenn-Nan Wang
semanticscholar   +1 more source

Klein-Gordon-Maxwell-Proca Type Systems in the Electro-Magneto-Static Case

Journal of Partial Differential Equations, 2018
We investigate a Klein-Gordon-Maxwell-Proca type system in the context of closed 3-dimensional manifolds. We prove existence of solutions and compactness of the system both in the subcritical and in the critical case.
Hebey Emmanuel and Thizy Pierre-Damien
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