Results 61 to 70 of about 586 (91)

Existence and multiplicity of solutions for a class of superlinear elliptic systems

Advances in Nonlinear Analysis, 2018
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
doaj   +1 more source

Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

Advances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj   +1 more source

Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system

Advances in Nonlinear Analysis
This article is concerned with the following Hamiltonian elliptic system: −ε2Δu+εb→⋅∇u+u+V(x)v=Hv(u,v)inRN,−ε2Δv−εb→⋅∇v+v+V(x)u=Hu(u,v)inRN,\left\{\begin{array}{l}-{\varepsilon }^{2}\Delta u+\varepsilon \overrightarrow{b}\cdot \nabla u+u+V\left(x)v={H}_ ...
Zhang Jian, Zhou Huitao, Mi Heilong
doaj   +1 more source

Elliptic semi-linear systems on R\sp N

, 2010
In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g.
Garrisi, Daniele
core  

Uniform L ∞-boundedness for solutions of anisotropic quasilinear systems

Advanced Nonlinear Studies
In this paper we obtain uniformly locally L ∞-estimate of solutions to non-autonomous quasilinear system involving operators in divergence form and a family of nonlinearities that are allowed to grow also critically.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
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Semi-classical states for critical Hartree system with critical frequency

Advanced Nonlinear Studies
In this paper, we study the following critical Hartree ...
Guo Lun, Hu Tingxi, Huang Wentao
doaj   +1 more source

HARDI DATA DENOISING USING VECTORIAL TOTAL VARIATION AND LOGARITHMIC BARRIER. [PDF]

Inverse Probl Imaging (Springfield), 2010
Kim Y, Thompson PM, Vese LA.
europepmc   +1 more source

Nontrivial solutions for a generalized poly-Laplacian system on finite graphs

Demonstratio Mathematica
We investigate the existence and multiplicity of solutions for a class of the generalized coupled system involving poly-Laplacian and the parameter λ\lambda on finite graphs.
Qi Wanting, Zhang Xingyong
doaj   +1 more source

Multiplicity and concentration behavior of solutions for the generalized quasilinear Schrödinger equation with critical growth

Demonstratio Mathematica
In this study, we are interested in multiplicity results for positive solutions of the generalized quasilinear Schrödinger equations with critical growth −div(g2(u)∇u)+g(u)g′(u)∣∇u∣2+V(εx)u=∣u∣αp−2u+Q(εx)∣u∣α2*−2u,x∈RN,-\mathrm{div}({g}^{2}\left(u)\nabla
Chen Yongpeng, Yang Zhipeng
doaj   +1 more source

Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth. [PDF]

Ann Mat Pura Appl
Irving C.
europepmc   +1 more source