Results 51 to 60 of about 191 (141)

Regularity estimates for fractional orthotropic p-Laplacians of mixed order

Advances in Nonlinear Analysis, 2022
We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
doaj   +1 more source

İzotropik Olmayan Potansiyel Teorik Eşitsizlik

, 2018
In this paper, the new weighted inequalities were derived by ?-distance which is similar to the given inequality for the potential operator defined in [1]. The results presented here would provide extensions of those given in earlier works.
Hüseyin Yıldırım, Merve Esra Yıldırım, Abdullah Akkurt   +2 more
core   +1 more source

Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces

Advanced Nonlinear Studies
We consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
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Partial regularity of stable solutions to the fractional Geľfand-Liouville equation

Advances in Nonlinear Analysis, 2021
We analyze stable weak solutions to the fractional Geľfand ...
Hyder Ali, Yang Wen
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The Minty-Browder theorem for nonlinear elliptic equations involving p-Laplacian with singular coefficients under form boundary conditions

We consider the elliptic parabolic partial differential equation with singular coefficients under the rather general form boundary conditions. We proved that the bounded operator associated with the elliptic equation satisfies monotony, coercivity, and ...
YAREMENKO, Mykola
core   +1 more source

Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian

Advanced Nonlinear Studies, 2017
In [1], for ...
Biccari Umberto, Warma Mahamadi, Zuazua Enrique   +2 more
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On Trace Regularity of Solutions to a Wave Equation with Homogeneous Neumann Boundary Conditions

, 2007
We prove an additional regularity of time derivative of the trace of solution to the wave equation on the 3D half space with the homogeneous Neumann boundary conditions. Key words: wave equation, boundary trace regularity.
I. A. Ryzhkova
core  

Besov Regularity for Interface Problems

, 1998
This paper is concerned with the Besov regularity of the solutions to interface problems in a segment S of the unit disk in R 2 : We investigate the smoothness of the solutions as measured in the specific scale B s ø (L ø (S)); 1=ø = s=2+1=p; of Besov
Dahlke, Stephan, Stephan Dahlke
core   +1 more source

Sobolev-Kantorovich Inequalities

Analysis and Geometry in Metric Spaces, 2015
In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
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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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