3 papers
math.AP2019
Venttsel boundary value problems with discontinuous data
Darya E. Apushkinskaya, Alexander I. Nazarov, Dian K. Palagachev +1
We study linear and quasilinear Venttsel boundary value problems involving elliptic operators with discontinuous coefficients. On the base of the a priori estimates obtained, maxim…
math.AP2018
Boundedness of Solutions to a Class of Coercive Systems with Morrey Data
Dian K. Palagachev, Lubomira G. Softova
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 s…
math.AP2017
Global Sobolev regularity for general elliptic equations of -Laplacian type
Sun-Sig Byun, Dian K. Palagachev, Pilsoo Shin
We derive global gradient estimates for -weak solutions to quasilinear elliptic equations of the form $$ \mathrm{div\,}\mathbf{a}(x,u,Du)=\mathrm{div\,}(|F|^{p-2}F) $…