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Synchronized vector solutions for the nonlinear Hartree system with nonlocal interaction

Advanced 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
doaj   +1 more source

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

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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
semanticscholar   +1 more source

Anisotropic nonlinear elliptic systems with variable exponents and degenerate coercivity

Applicable Analysis, 2021
Fares Mokhtari
exaly  

An Elliptic System Related to the Stationary Thermistor Problem

SIAM Journal on Mathematical Analysis, 2021
Lucio Boccardo, Luigi Orsina
exaly  

Nonhomogeneous systems involving critical or subcritical nonlinearities

Differential and Integral Equations, 2020
Mousomi Bhakta, Patrizia Pucci
exaly  

The Lp Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system

Communications in Partial Differential Equations, 2021
Martin Dindoš
exaly  

Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

Communications in Partial Differential Equations, 2011
Scott N Armstrong, Boyan Sirakov
exaly