Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions

Tadeusz Iwaniec

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1982

Abstract

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CONTENTSPreliminaries........................................................................................................ 51. Auxiliary results......................................................................................................... 132. The second order equations.................................................................................. 143. Some properties of Sobolev and Besov spaces................................................ 204. Classes Λ α ( G , H ) , 0 < a ≤ 1............................................................................ 215. The case of Lipschitz characteristics................................................................... 266. Existence of second partial derivatives and its consequences...................... 297. Local boundedness of the Jacobian.................................................................... 338. Smoothness.............................................................................................................. 41References.................................................................................................................... 44

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Tadeusz Iwaniec. Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1982. <http://eudml.org/doc/268652>.

@book{TadeuszIwaniec1982,
abstract = {CONTENTSPreliminaries........................................................................................................ 51. Auxiliary results......................................................................................................... 132. The second order equations.................................................................................. 143. Some properties of Sobolev and Besov spaces................................................ 204. Classes $Λ^α(G, H)$, 0 < a ≤ 1............................................................................ 215. The case of Lipschitz characteristics................................................................... 266. Existence of second partial derivatives and its consequences...................... 297. Local boundedness of the Jacobian.................................................................... 338. Smoothness.............................................................................................................. 41References.................................................................................................................... 44},
author = {Tadeusz Iwaniec},
keywords = {regularity; quasiconformal mapping; infinitesimal ellipsoid; Sobolev spaces},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions},
url = {http://eudml.org/doc/268652},
year = {1982},
}

TY - BOOK
AU - Tadeusz Iwaniec
TI - Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions
PY - 1982
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSPreliminaries........................................................................................................ 51. Auxiliary results......................................................................................................... 132. The second order equations.................................................................................. 143. Some properties of Sobolev and Besov spaces................................................ 204. Classes $Λ^α(G, H)$, 0 < a ≤ 1............................................................................ 215. The case of Lipschitz characteristics................................................................... 266. Existence of second partial derivatives and its consequences...................... 297. Local boundedness of the Jacobian.................................................................... 338. Smoothness.............................................................................................................. 41References.................................................................................................................... 44
LA - eng
KW - regularity; quasiconformal mapping; infinitesimal ellipsoid; Sobolev spaces
UR - http://eudml.org/doc/268652
ER -

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