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Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of p-growth

Rocky Mountain Journal of Mathematics, 2022
We prove a global mixed-norm gradient estimate in the framework of anisotropic Lorentz spaces to general elliptic equations of p-growth under weak regularity data.
H. Tian, Shenzhou Zheng
semanticscholar   +1 more source

Fractional powers of the Stokes operator with boundary conditions involving the pressure

Mathematische Nachrichten, 2019
Since the pioneer work of Leray [21] and Hopf [15], Stokes and Navier-Stokes problems have been often studied with Dirichlet boundary condition. Nevertheless, in the opinion of engineers and physicists such a condition is not always realistic in ...
H. A. Baba
semanticscholar   +1 more source

Existence and uniqueness of solution for Caginalp hyperbolic phase field system with polynomial growth potential

, 2015
Our aim in this article is to study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, homogenous Dirichlet boundary conditions and polynomial growth potential in bounded and smooth domain ...
Mayeul Evrard Isseret Goyaud   +3 more
semanticscholar   +1 more source

Existence and uniqueness of solution for Caginalp hyperbolic phase-field system with a singular potential

, 2016
In this article, we study the existence and the uniqueness of solution for Caginalp hyperbolic phase-field system, with initial conditions, Dirichlet boundary conditions and singular potential in bounded and smooth domain.
Urbain Cyriaque Mavoungou   +3 more
semanticscholar   +1 more source

Initial boundary value problems for viscoelastic Jeffreys fluids

, 2015
We study the initial boundary value problem for the nonlinear system, which describes the dynamics of an incompressible viscoelastic uid with the Jereys constitutive law under the Navier slip boundary condition.
M. A. Artemov, E. Baranovskii
semanticscholar   +1 more source

Continuous dissipative Euler flows and a conjecture of Onsager

, 2012
It is known since the pioneering works of Scheffer and Shnirelman that there are nontrivial distributional solutions to the Euler equations which are compactly supported in space and time.
Camillo De Lellis
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Existence of weak solution for a (n+1)x(n+1) nonsymmetric system of Keyfitz-Kranzer type

, 2017
We establish a theorem on the existence of weak solution for the Cauchy problem associated with a (n + 1)× (n + 1) nonsymmetric system of Keyfitz-Kranzer type with specific source terms and bounded measurable initial data.
J. Hernandez, C. Gomez, Hernán Garzón
semanticscholar   +1 more source

Weak Solutions of Nonvariational Elliptic Equations

, 2011
We discuss basic properties (uniqueness and regularity) of viscosity solutions to fully nonlinear elliptic equations of the form F (x,Du) = 0, which includes also linear elliptic equations of nondivergent form.
N. Nadirashvili, S. Vladut
semanticscholar   +1 more source

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