Results 61 to 70 of about 567 (72)

On a logarithmic Hartree equation

Advances in Nonlinear Analysis, 2019
We study the existence of radially symmetric solutions for a nonlinear planar Schrödinger-Poisson system in presence of a superlinear reaction term which doesn’t satisfy the Ambrosetti-Rabinowitz condition. The system is re-written as a nonlinear Hartree
Bernini Federico, Mugnai Dimitri
doaj   +1 more source

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

On coupled systems of nonlinear Schrödinger and Choquard equations with distinct exponents

Advanced Nonlinear Studies
In this paper, we are interested in the existence of a positive solution of the two coupled system of nonlinear Schrödinger and Choquard equations. Our equations admit the case that the nonlinearity exponents of two components are different.
Choi Dohoon, Lim Subong, Seok Jinmyoung
doaj   +1 more source

Normalized solutions for the Kirchhoff equation with combined nonlinearities in ℝ4

Advances in Nonlinear Analysis
In this article, we study the following Kirchhoff equation with combined nonlinearities: −a+b∫R4∣∇u∣2dxΔu+λu=μ∣u∣q−2u+∣u∣2u,inR4,∫R4∣u∣2dx=c2,\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{4}}{| \nabla u| }^{2}{\rm ...
Qiu Xin, Ou Zeng-Qi, Tang Chun-Lei, Lv Ying   +3 more
doaj   +1 more source

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source

Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients. [PDF]

J Inequal Appl, 2018
Du G, Li F.
europepmc   +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