Regularity of log(partial derivativeφ) for the Solutions of Beltrami Equations with Coefficient in the Sobolev Space Wc1,p(C)

被引：0

作者：

Baison Olmo, Antonio L. ^{[1
]}

Cruz Barriguete, Victor A. ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Azcapotzalco, Mexico City, DF, Mexico

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 03期

关键词：

Beltrami equation; Regularity of solutions;

D O I：

10.1007/s00009-021-01757-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the regularity of log(partial derivative phi) when phi is the principal solution of the homogeneous Beltrami equation and the coefficient mu has compact support and is in the Sobolev space W-c(1,p) (C) with 1 < p <= 1 + parallel to mu parallel to(infinity).

引用

页数：11

共 5 条

[1] BELTRAMI EQUATIONS WITH COEFFICIENT IN THE SOBOLEV SPACE W1,p
Clop, A.
Faraco, D.
Mareu, J.
Orobitg, J.
Zhong, X.
PUBLICACIONS MATEMATIQUES, 2009, 53 (01) : 197 - 230
[2] Regularity of log(∂ϕ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\log (\partial \phi )$$\end{document} for the Solutions of Beltrami Equations with Coefficient in the Sobolev Space Wc1,p(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W^{1,p}_c({\mathbb {C}})$$\end{document}
Antonio L. Baisón Olmo
Victor A. Cruz Barriguete
Mediterranean Journal of Mathematics, 2021, 18 (3)
[3] EXISTENCE OF OPERATOR BASES FOR THE SPACE OF SOLUTIONS OF PARTIAL LINEAR DERIVATIVE EQUATIONS WITH CONSTANT-COEFFICIENTS .1.
CHARRIERE, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1987, 63 (08) : 311 - 314
[4] Global C1,α regularity and existence of multiple solutions for singular p(x)-Laplacian equations
Byun, Sun-Sig
Ko, Eunkyung
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (03)
[5] Global C1,α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^{1,\alpha }$$\end{document} regularity and existence of multiple solutions for singular p(x)-Laplacian equations
Sun-Sig Byun
Eunkyung Ko
Calculus of Variations and Partial Differential Equations, 2017, 56 (3)

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