Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Palagachev, Dian K."'
Publikováno v:
In Journal of Differential Equations 5 December 2023 375:538-566
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maximal regularity and strong solvability in Sobolev spaces are proved.
Externí odkaz:
http://arxiv.org/abs/1907.03017
Publikováno v:
Nonlinear Anal. 191 (2020), 111630, 16 pp
We prove global essential boundedness for the weak solutions of divergence form quasilinear systems. The principal part of the differential operator is componentwise coercive and supports controlled growths with respect to the solution and its gradie
Externí odkaz:
http://arxiv.org/abs/1807.08283
We derive global gradient estimates for $W^{1,p}_0(\Omega)$-weak solutions to quasilinear elliptic equations of the form $$ \mathrm{div\,}\mathbf{a}(x,u,Du)=\mathrm{div\,}(|F|^{p-2}F) $$ over $n$-dimensional Reifenberg flat domains. The nonlinear ter
Externí odkaz:
http://arxiv.org/abs/1703.09918
Publikováno v:
In Applied Mathematics Letters February 2021 112
We deal with general quasilinear divergence-form coercive operators whose prototype is the $m$-Laplacean operator. The nonlinear terms are given by Carath\'eodory functions and satisfy controlled growth structure conditions with data belonging to sui
Externí odkaz:
http://arxiv.org/abs/1501.06192
We deal with the regularity problem for linear, second order parabolic equations and systems in divergence form with measurable data over non-smooth domains, related to variational problems arising in the modeling of composite materials and in the me
Externí odkaz:
http://arxiv.org/abs/1309.6199
Autor:
Byun, Sun-Sig, Palagachev, Dian K.
Publikováno v:
Potential Analysis, Volume 41, Issue 1, July 2014, Pages 51-79
We obtain a global weighted $L^p$ estimate for the gradient of the weak solutions to divergence form elliptic equations with measurable coefficients in a nonsmooth bounded domain. The coefficients are assumed to be merely measurable in one variable a
Externí odkaz:
http://arxiv.org/abs/1210.6359
Autor:
Palagachev, Dian K.
Publikováno v:
J. Nonlinear Convex Anal. 7 (2006), No. 3, 499-514
A degenerate oblique derivative problem is studied for uniformly elliptic operators with low regular coefficients in the framework of Sobolev's classes $W^{2,p}(\Omega)$ for {\em arbitrary} $p>1.$ The boundary operator is prescribed in terms of a dir
Externí odkaz:
http://arxiv.org/abs/1110.2469
We deal with linear parabolic (in sense of Petrovskii) systems of order 2b with discontinuous principal coefficients. A'priori estimates in Sobolev and Sobolev--Morrey spaces are proved for the strong solutions by means of potential analysis and boun
Externí odkaz:
http://arxiv.org/abs/math/0410415