38 citations · 155 across the 17 of their papers we have counts for
20 papers
Conormal problem for a kind of nonlinear elliptic equations
A. F. Buscetto, R. Rescigno, L. G. Softova +1
We study the global boundedness of weak solutions to a class of nonlinear elliptic equations in bounded Lipschitz domains, subject to conormal boundary conditions. Using techniques…
Nonlocal problems for Laplace equation in Bochner spaces
Bilal Bilalov, Sabina Sadigova, Pia Salerno +1
We study the Laplace equation posed in the unbounded rectangular domain with , and subject to nonlocal boundary conditions on in th…
Interior a priori estimate for higher order elliptic systems in Orlicz spaces
Amiran Gogatishvili, Pia Salerno, Lubomira Softova
We investigate singular integral operators with variable Calderón--Zygmund kernels and their commutators with functions on Orlicz spaces. After revisiting the classical …
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…
Approximation of the Solutions to Quasilinear Parabolic Problems with Perturbed Coefficients
Rosamaria Rescigno, Lubomira Softova
We consider the Cauchy-Dirichlet problem for second-order quasilinear non-divergence form operators of parabolic type. The data are Cara\-thé\-o\-dory functions, and the principal…
Global solvability of the Laplace equation in weighted Sobolev spaces
Bilal T. Bilalov, Natavan P. Nasibova, Lubomira G. Softova +1
We consider a non-local boundary value problem for the Laplace equation in unbounded studding the weak and strong solvability of that problem in the framework of the weighted Sobol…
Boundedness of the solutions of a kind of nonlinear parabolic systems
Emilia Anna Alfano, Luisa Fattorusso, Lubomira Softova
We deal with nonlinear systems of parabolic type satisfying component-wise structural conditions. The nonlinear terms are Carathéodory maps having controlled growth with respect to…
Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data
Luisa Fattorusso, Lubomira Softova
We consider the Dirichlet problem for a class of quasilinear elliptic systems in domain with irregular boundary. The principal part satisfies componentwise coercivity condition and…
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…
Asymptotically regular operators in generalized Morrey spaces
Sun-Sig Byun, Lubomira Softova
We obtain Calderón-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of -Laplacian type. Our result is obtained under minimal regularity assumptions bo…
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…
Boundedness of the solutions to nonlinear systems with Morrey data
Lubomira Softova
We consider nonlinear elliptic systems satisfying componentwise coercivity condition. The nonlinear terms have controlled growths with respect to the solution and its gradient, whi…
The Dirichlet problem in a class of generalized weighted spaces
Vagif S. Guliyev, Mehriban Omarova, Lubomira Softova
We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are…
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…
Parabolic oblique derivative problem in generalized Morrey spaces
Lubomira Softova
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of th…
Generalized Morrey regularity for parabolic equations with discontinuity data
Vagif S. Guliyev, Lubomira G. Softova
We obtain continuity in generalized parabolic Morrey spaces of sublinear integrals generated by the parabolic Calderón-Zygmund operators and its commutator with functions. Th…
Lp-integrability of the gradient of solutions to quasilinear systems with discontinuous coefficients
Lubomira G. Softova
The Dirichlet problem for a class of quasilinear elliptic systems of equations with small-BMO coefficients in Reifenberg-flat domain is considered. The lower order terms supposed t…
Fine regularity for elliptic systems with discontinuous ingredients
Dian Palagachev, Lubomira Softova
We propose results on interior Morrey, BMO and Hölder regularity for the strong solutions to linear elliptic systems of order 2b with discontinuous coefficients and right-hand side…
A'priori estimates and precise regularity for parabolic systems with discontinuous data
Dian K. Palagachev, Lubomira G. Softova
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 p…
W^{2,1}_p Solvability for Parabolic Poincare Problem
Lubomira G. Softova
We study Poincaré problem for a linear uniformly parabolic operator in a cylinder The boundary operator $\B$ is defined by an oblique derivative with respect…