Results 41 to 50 of about 1,945 (99)

Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case

Advances in Nonlinear Analysis, 2020
We consider nonlinear sub-elliptic systems with VMO-coefficients for the case 1 < p < 2 under controllable growth conditions, as well as natural growth conditions, respectively, in the Heisenberg group.
Wang Jialin, Zhu Maochun, Gao Shujin, Liao Dongni   +3 more
doaj   +1 more source

Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation

Advances in Nonlinear Analysis, 2023
In this article, we study the fractional critical Choquard equation with a nonlocal perturbation: (−Δ)su=λu+α(Iμ*∣u∣q)∣u∣q−2u+(Iμ*∣u∣2μ,s*)∣u∣2μ,s*−2u,inRN,{\left(-{\Delta })}^{s}u=\lambda u+\alpha \left({I}_{{\mu }^{* }}\hspace{-0.25em}{| u| }^{q}){| u|
Lan Jiali, He Xiaoming, Meng Yuxi
doaj   +1 more source

Analyticity of dissipative-dispersive systems in higher dimensions

, 2018
We investigate the analyticity of the attractors of a class of Kuramoto-Sivashinsky type pseudo-differential equations in higher dimensions, which are periodic in all spatial variables and possess a universal attractor.
Evripidou, Charalampos, Smyrlis, Yiorgos-Sokratis   +1 more
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Regularity Criteria for Navier-Stokes Equations with Slip Boundary Conditions on Non-flat Boundaries via Two Velocity Components

Advances in Nonlinear Analysis, 2019
H.-O. Bae and H.J. Choe, in a 1997 paper, established a regularity criteria for the incompressible Navier-Stokes equations in the whole space ℝ3 based on two velocity components. Recently, one of the present authors extended this result to the half-space
Veiga Hugo Beirão da, Yang Jiaqi
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Morrey estimates for a class of elliptic equations with drift term

Advances in Nonlinear Analysis, 2019
We consider the following boundary value ...
Cirmi G. R., D’Asero S., Leonardi S.
doaj   +1 more source

Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

Advances in Nonlinear Analysis
We consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source

H\"older regularity for Maxwell's equations under minimal assumptions on the coefficients

, 2018
We prove global H\"older regularity for the solutions to the time-harmonic anisotropic Maxwell's equations, under the assumptions of H\"older continuous coefficients. The regularity hypotheses on the coefficients are minimal. The same estimates hold also
Alberti, Giovanni S.
core   +1 more source

Dirichlet problem for quasi-linear elliptic equations

Electronic Journal of Differential Equations, 2002
We study the Dirichlet Problem associated to the quasilinear elliptic problem $$ -sum_{i=1}^{n}frac{partial }{partial x_i}mathcal{A}_i(x,u(x), abla u(x))+mathcal{B}(x,u(x),abla u(x))=0.
Azeddine Baalal, Nedra Belhaj Rhouma
doaj  

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

Global smooth solution to the n-dimensional liquid crystal equations with fractional dissipation

Demonstratio Mathematica
In this article, we focus on the global regularity of n-dimensional liquid crystal equations with fractional dissipation terms (−Δ)αu{\left(-\Delta )}^{\alpha }u and (−Δ)βd{\left(-\Delta )}^{\beta }d.
Li Wei, Wu Qiongru
doaj   +1 more source