# zbMATH — the first resource for mathematics

## Palagachev, Dian K.

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 Author ID: palagachev.dian-k Published as: Palagachev, D.; Palagachev, D. K.; Palagachev, Dian; Palagachev, Dian K. Homepage: http://www.dmmm.poliba.it/index.php/en/profile/211-dkpala External Links: MGP · ORCID · dblp
 Documents Indexed: 70 Publications since 1990, including 2 Books Reviewing Activity: 1,529 Reviews
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#### Co-Authors

 21 single-authored 19 Softova, Lubomira G. 17 Byun, Sun-Sig 8 Popivanov, Petar Radoev 5 Shin, Pilsoo 4 Ragusa, Maria Alessandra 3 Di Fazio, Giuseppe 3 Maugeri, Antonino 2 Apushkinskaya, Darya E. 2 Nazarov, Alexander I. 2 Ryu, Seungjin 2 Taira, Kazuaki 2 Vitanza, Carmela 1 Cho, Yumi 1 Lee, Mikyoung 1 Maugeri, Antonio 1 Ok, Jihoon 1 Recke, Lutz 1 Romano, Vittorio 1 Wang, Lihe
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#### Serials

 7 Doklady Bolgarskoĭ Akademii Nauk 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Mathematical Analysis and Applications 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal of Global Optimization 1 Serdica 1 SIAM Journal on Mathematical Analysis 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Communications in Applied Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear and Convex Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Complex Variables and Elliptic Equations 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 69 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

51 Publications have been cited 552 times in 306 Documents Cited by Year
Elliptic and parabolic equations with discontinuous coefficients. Zbl 0958.35002
Maugeri, Antonio; Palagachev, Dian K.; Softova, Lubomira G.
2000
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
2004
Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients. Zbl 0942.35059
Di Fazio, Giuseppe; Palagachev, Dian K.; Ragusa, Maria Alessandra
1999
Quasilinear elliptic equations with VMO coefficients. Zbl 0833.35048
Palagachev, Dian K.
1995
The Calderón-Zygmund property for quasilinear divergence form equations over Reifenberg flat domains. Zbl 1209.35047
Palagachev, Dian K.; Softova, Lubomira G.
2011
Parabolic systems with measurable coefficients in weighted Orlicz spaces. Zbl 1336.35183
Byun, Sun-Sig; Ok, Jihoon; Palagachev, Dian K.; Softova, Lubomira G.
2016
Weighted $$L^p$$-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
2014
A priori estimates and precise regularity for parabolic systems with discontinuous data. Zbl 1091.35035
Palagachev, Dian; Softova, Lubomira
2005
Weighted $$W^{1,p}$$ estimates for solutions of non-linear parabolic equations over non-smooth domains. Zbl 1317.35115
Byun, Sun-Sig; Palagachev, Dian K.; Ryu, Seungjin
2013
Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains. Zbl 1288.35255
Byun, Sun-Sig; Palagachev, Dian K.
2014
Quasilinear divergence form parabolic equations in Reifenberg flat domains. Zbl 1235.35176
Palagachev, Dian; Softova, Lubomira G.
2011
Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients. Zbl 0908.35030
Maugeri, Antonino; Palagachev, Dian K.
1998
Parabolic systems with measurable coefficients in Reifenberg domains. Zbl 1319.35074
Byun, Sun-Sig; Palagachev, Dian K.; Wang, Lihe
2013
Global gradient estimates in weighted Lebesgue spaces for parabolic operators. Zbl 1334.35077
Byun, Sun-Sig; Palagachev, Dian K.; Softova, Lubomira G.
2016
Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients. Zbl 1194.35157
Palagachev, Dian K.; Recke, Lutz; Softova, Lubomira G.
2006
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations. Zbl 1426.35118
Byun, Sun-Sig; Lee, Mikyoung; Palagachev, Dian K.
2016
The degenerate oblique derivative problem for elliptic and parabolic equations. Zbl 0870.35002
Popivanov, Peter R.; Palagachev, Dian K.
1997
Oblique derivative problem for quasilinear elliptic equations with VMO coefficients. Zbl 0879.35056
Di Fazio, Giuseppe; Palagachev, Dian K.
1996
Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains. Zbl 1315.35113
Byun, Sun-Sig; Cho, Yumi; Palagachev, Dian K.
2015
Oblique derivative problem for elliptic equations in non-divergence form with $$VMO$$ coefficients. Zbl 0881.35028
Di Fazio, G.; Palagachev, D. K.
1996
Global Hölder continuity of weak solutions to quasilinear divergence form elliptic equations. Zbl 1177.35080
Palagachev, Dian K.
2009
Fine regularity for elliptic systems with discontinuous ingredients. Zbl 1242.35120
Palagachev, Dian; Softova, Lubomira
2006
Global Sobolev regularity for general elliptic equations of $$p$$-Laplacian type. Zbl 1405.35050
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2018
Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations. Zbl 1352.35050
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2016
Global continuity of solutions to quasilinear equations with Morrey data. Zbl 1321.35058
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2015
Elliptic obstacle problems with measurable coefficients in non-smooth domains. Zbl 1301.49020
Byun, Sun-Sig; Palagachev, Dian K.; Ryu, Seungjin
2014
Boundedness of the weak solutions to quasilinear elliptic equations with Morrey data. Zbl 1300.35045
Byun, Sun-Sig; Palagachev, Dian K.
2013
$$W^{2, p}$$-a priori estimates for the emergent Poincaré problem. Zbl 1137.35024
Palagachev, Dian K.
2008
Precise regularity of solutions to elliptic system with discontinuous data. Zbl 1387.35196
Palagachev, Dian K.; Softova, Lubomira G.
2005
Characterization of the interior regularity for parabolic systems with discontinuous coefficients. Zbl 1225.35116
Palagachev, Dian K.; Softova, Lubomira G.
2005
The Poincaré problem in $$L^p$$-Sobolev spaces. I: Codimension one degeneracy. Zbl 1149.35029
Palagachev, Dian K.
2005
Cauchy-Dirichlet problem in Morrey spaces for parabolic equations with discontinuous coefficients. Zbl 1121.35067
Palagachev, Dian K.; Ragusa, Maria A.; Softova, Lubomira G.
2003
Regular oblique derivative problem in Morrey spaces. Zbl 1002.35033
Palagachev, Dian K.; Ragusa, Maria Alessandra; Softova, Lubomira G.
2000
Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications. Zbl 0990.35130
Maugeri, Antonino; Palagachev, Dian K.; Vitanza, Carmela
1998
The tangential oblique derivative problem for second order quasilinear parabolic operators. Zbl 0829.35056
Palagachev, D. K.
1992
Quasilinear divergence form elliptic equations in rough domains. Zbl 1190.35220
Palagachev, Dian K.
2010
Discontinuous superlinear elliptic equations of divergence form. Zbl 1185.35310
Palagachev, Dian K.
2009
The Poincaré problem in $$L^p$$-Sobolev spaces. II: Full dimension degeneracy. Zbl 1151.35019
Palagachev, Dian K.
2008
A singular boundary value problem for uniformly elliptic operators. Zbl 1064.35047
Maugeri, Antonino; Palagachev, Dian K.; Vitanza, Carmela
2001
Dirichlet problem for a class of second order nonlinear elliptic equations. Zbl 0844.35036
Palagachev, Dian K.
1995
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane. Zbl 0823.35060
Palagachev, Dian K.
1993
Neutral Poincaré problem in $$L^p$$-Sobolev spaces: regularity and Fredholmness. Zbl 1172.35374
Palagachev, Dian K.
2006
On the tangential oblique derivative problem for quasilinear elliptic operators. Zbl 0815.35025
Popivanov, P. R.; Palagachev, D. K.
1991
Elliptic Venttsel problems with $$VMO$$ coefficients. Zbl 1446.35241
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2020
Survey on gradient estimates for nonlinear elliptic equations in various function spaces. Zbl 1437.35283
Byun, S.-S.; Palagachev, D. K.; Softova, L. G.
2020
Boundedness of solutions to quasilinear parabolic equations. Zbl 1351.35071
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2016
$$L^p$$-regularity for Poincaré problem and applications. Zbl 1170.35098
Palagachev, Dian K.
2005
A degenerate Neumann problem for quasilinear elliptic equations. Zbl 0960.35043
Taira, Kazuaki; Palagachev, Dian K.; Popivanov, Peter R.
2000
A degenerate Neumann problem for quasilinear elliptic integro-differential operators. Zbl 0941.45005
Palagachev, D. K.; Popivanov, P. R.; Taira, K.
1999
Existence and uniqueness of asymptotic wave solutions for the hydrodynamical model of semiconductors. Zbl 0880.76003
Palagachev, D. K.; Romano, V.
1997
Boundary value problem with a tangential oblique derivative for second order quasilinear elliptic operators. Zbl 0795.35034
Popivanov, P. R.; Palagachev, D. K.
1993
Elliptic Venttsel problems with $$VMO$$ coefficients. Zbl 1446.35241
Apushkinskaya, Darya E.; Nazarov, Alexander I.; Palagachev, Dian K.; Softova, Lubomira G.
2020
Survey on gradient estimates for nonlinear elliptic equations in various function spaces. Zbl 1437.35283
Byun, S.-S.; Palagachev, D. K.; Softova, L. G.
2020
Global Sobolev regularity for general elliptic equations of $$p$$-Laplacian type. Zbl 1405.35050
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2018
Parabolic systems with measurable coefficients in weighted Orlicz spaces. Zbl 1336.35183
Byun, Sun-Sig; Ok, Jihoon; Palagachev, Dian K.; Softova, Lubomira G.
2016
Global gradient estimates in weighted Lebesgue spaces for parabolic operators. Zbl 1334.35077
Byun, Sun-Sig; Palagachev, Dian K.; Softova, Lubomira G.
2016
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations. Zbl 1426.35118
Byun, Sun-Sig; Lee, Mikyoung; Palagachev, Dian K.
2016
Sobolev-Morrey regularity of solutions to general quasilinear elliptic equations. Zbl 1352.35050
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2016
Boundedness of solutions to quasilinear parabolic equations. Zbl 1351.35071
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2016
Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains. Zbl 1315.35113
Byun, Sun-Sig; Cho, Yumi; Palagachev, Dian K.
2015
Global continuity of solutions to quasilinear equations with Morrey data. Zbl 1321.35058
Byun, Sun-Sig; Palagachev, Dian K.; Shin, Pilsoo
2015
Weighted $$L^p$$-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
2014
Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains. Zbl 1288.35255
Byun, Sun-Sig; Palagachev, Dian K.
2014
Elliptic obstacle problems with measurable coefficients in non-smooth domains. Zbl 1301.49020
Byun, Sun-Sig; Palagachev, Dian K.; Ryu, Seungjin
2014
Weighted $$W^{1,p}$$ estimates for solutions of non-linear parabolic equations over non-smooth domains. Zbl 1317.35115
Byun, Sun-Sig; Palagachev, Dian K.; Ryu, Seungjin
2013
Parabolic systems with measurable coefficients in Reifenberg domains. Zbl 1319.35074
Byun, Sun-Sig; Palagachev, Dian K.; Wang, Lihe
2013
Boundedness of the weak solutions to quasilinear elliptic equations with Morrey data. Zbl 1300.35045
Byun, Sun-Sig; Palagachev, Dian K.
2013
The Calderón-Zygmund property for quasilinear divergence form equations over Reifenberg flat domains. Zbl 1209.35047
Palagachev, Dian K.; Softova, Lubomira G.
2011
Quasilinear divergence form parabolic equations in Reifenberg flat domains. Zbl 1235.35176
Palagachev, Dian; Softova, Lubomira G.
2011
Quasilinear divergence form elliptic equations in rough domains. Zbl 1190.35220
Palagachev, Dian K.
2010
Global Hölder continuity of weak solutions to quasilinear divergence form elliptic equations. Zbl 1177.35080
Palagachev, Dian K.
2009
Discontinuous superlinear elliptic equations of divergence form. Zbl 1185.35310
Palagachev, Dian K.
2009
$$W^{2, p}$$-a priori estimates for the emergent Poincaré problem. Zbl 1137.35024
Palagachev, Dian K.
2008
The Poincaré problem in $$L^p$$-Sobolev spaces. II: Full dimension degeneracy. Zbl 1151.35019
Palagachev, Dian K.
2008
Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients. Zbl 1194.35157
Palagachev, Dian K.; Recke, Lutz; Softova, Lubomira G.
2006
Fine regularity for elliptic systems with discontinuous ingredients. Zbl 1242.35120
Palagachev, Dian; Softova, Lubomira
2006
Neutral Poincaré problem in $$L^p$$-Sobolev spaces: regularity and Fredholmness. Zbl 1172.35374
Palagachev, Dian K.
2006
A priori estimates and precise regularity for parabolic systems with discontinuous data. Zbl 1091.35035
Palagachev, Dian; Softova, Lubomira
2005
Precise regularity of solutions to elliptic system with discontinuous data. Zbl 1387.35196
Palagachev, Dian K.; Softova, Lubomira G.
2005
Characterization of the interior regularity for parabolic systems with discontinuous coefficients. Zbl 1225.35116
Palagachev, Dian K.; Softova, Lubomira G.
2005
The Poincaré problem in $$L^p$$-Sobolev spaces. I: Codimension one degeneracy. Zbl 1149.35029
Palagachev, Dian K.
2005
$$L^p$$-regularity for Poincaré problem and applications. Zbl 1170.35098
Palagachev, Dian K.
2005
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
2004
Cauchy-Dirichlet problem in Morrey spaces for parabolic equations with discontinuous coefficients. Zbl 1121.35067
Palagachev, Dian K.; Ragusa, Maria A.; Softova, Lubomira G.
2003
A singular boundary value problem for uniformly elliptic operators. Zbl 1064.35047
Maugeri, Antonino; Palagachev, Dian K.; Vitanza, Carmela
2001
Elliptic and parabolic equations with discontinuous coefficients. Zbl 0958.35002
Maugeri, Antonio; Palagachev, Dian K.; Softova, Lubomira G.
2000
Regular oblique derivative problem in Morrey spaces. Zbl 1002.35033
Palagachev, Dian K.; Ragusa, Maria Alessandra; Softova, Lubomira G.
2000
A degenerate Neumann problem for quasilinear elliptic equations. Zbl 0960.35043
Taira, Kazuaki; Palagachev, Dian K.; Popivanov, Peter R.
2000
Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients. Zbl 0942.35059
Di Fazio, Giuseppe; Palagachev, Dian K.; Ragusa, Maria Alessandra
1999
A degenerate Neumann problem for quasilinear elliptic integro-differential operators. Zbl 0941.45005
Palagachev, D. K.; Popivanov, P. R.; Taira, K.
1999
Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients. Zbl 0908.35030
Maugeri, Antonino; Palagachev, Dian K.
1998
Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications. Zbl 0990.35130
Maugeri, Antonino; Palagachev, Dian K.; Vitanza, Carmela
1998
The degenerate oblique derivative problem for elliptic and parabolic equations. Zbl 0870.35002
Popivanov, Peter R.; Palagachev, Dian K.
1997
Existence and uniqueness of asymptotic wave solutions for the hydrodynamical model of semiconductors. Zbl 0880.76003
Palagachev, D. K.; Romano, V.
1997
Oblique derivative problem for quasilinear elliptic equations with VMO coefficients. Zbl 0879.35056
Di Fazio, Giuseppe; Palagachev, Dian K.
1996
Oblique derivative problem for elliptic equations in non-divergence form with $$VMO$$ coefficients. Zbl 0881.35028
Di Fazio, G.; Palagachev, D. K.
1996
Quasilinear elliptic equations with VMO coefficients. Zbl 0833.35048
Palagachev, Dian K.
1995
Dirichlet problem for a class of second order nonlinear elliptic equations. Zbl 0844.35036
Palagachev, Dian K.
1995
Global strong solvability of Dirichlet problem for a class of nonlinear elliptic equations in the plane. Zbl 0823.35060
Palagachev, Dian K.
1993
Boundary value problem with a tangential oblique derivative for second order quasilinear elliptic operators. Zbl 0795.35034
Popivanov, P. R.; Palagachev, D. K.
1993
The tangential oblique derivative problem for second order quasilinear parabolic operators. Zbl 0829.35056
Palagachev, D. K.
1992
On the tangential oblique derivative problem for quasilinear elliptic operators. Zbl 0815.35025
Popivanov, P. R.; Palagachev, D. K.
1991
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