Results 41 to 49 of about 370 (49)

Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth

Advances in Nonlinear Analysis
We consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena, Leonetti Francesco, Treu Giulia   +2 more
doaj   +1 more source

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

Advanced 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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Asymptotic behaviors of least energy solutions for weakly coupled nonlinear Schrödinger systems

Advanced Nonlinear Studies
We study the asymptotic behavior of positive least energy solutions to the weakly coupled nonlinear Schrödinger systems with nearly critical exponents.
Chen Zhijie, Cheng Zetao
doaj   +1 more source

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
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Nonlinear elliptic equations and systems with linear part at resonance

, 2016
The famous result of Landesman and Lazer [10] dealt with resonance at a simple eigenvalue. Soon after publication of [10], Williams [14] gave an extension for repeated eigenvalues.
Korman, Philip
core   +1 more source

A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞ [PDF]

, 2020
Ayanbayev, Birzhan, Katzourakis, Nikos
core   +1 more source

A new characterisation ∞-harmonic AND p-harmonic map↲ s via affine variations in L∞ [PDF]

, 2017
Katzourakis, Nikos
core  

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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