38 citations · 116 across the 9 of their papers we have counts for
10 papers
Non-homogeneous conormal derivative problem for quasilinear elliptic equations with Morrey data
Dian K. Palagachev, Lubomira G. Softova
A non-homogeneous conormal derivative problem is considered for quasilinear divergence form elliptic equations modeled on the -Laplacian operator. The nonlinear terms are given…
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…
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…
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) $…
Global Hoelder continuity of solutions to quasilinear equations with Morrey data
Sun-Sig Byun, Dian K. Palagachev, Pilsoo Shin
We deal with general quasilinear divergence-form coercive operators whose prototype is the -Laplacean operator. The nonlinear terms are given by Carathéodory functions and satis…
Global gradient estimates in weighted Lebesgue spaces for parabolic operators
Sun-Sig Byun, Dian K. Palagachev, Lubomira G. Softova
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…