A REMARK ON THE REGULARITY OF THE SOLUTIONS OF THE P-LAPLACIAN AND ITS APPLICATION TO THEIR FINITE-ELEMENT APPROXIMATION

被引：49

作者：

LIU, WB

BARRETT, JW

机构：

[1] Department of Mathematics, Imperial College, London

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 178卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, global H2 regularity is established for the solutions of the p-Laplacian equation, 1 < p ≤ 2, and related equations on domains which are either convex or have C2 boundaries, The results are used to derive some explicit error bounds for the finite element approximation of the p-Laplacian, which were not previously available because of the lack of regularity results. © 1993 Academic Press, Inc.

引用

页码：470 / 487

页数：18

共 50 条

[21] Asymptotic regularity for p-Laplacian equation
Liu, Yuewei
Yang, Lu
Zhong, Chengkui
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
[22] Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian
Cabre, Xavier
Miraglio, Pietro
Sanchon, Manel
ADVANCES IN CALCULUS OF VARIATIONS, 2022, 15 (04) : 749 - 785
[23] A note on global regularity for the weak solutions of fractional p-Laplacian equations
Iannizzotto, Antonio
Mosconi, Sunra J. N.
Squassina, Marco
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2016, 27 (01) : 15 - 24
[24] Minimization of p-Laplacian via the Finite Element Method in MATLAB
Matonoha, Ctirad
Moskovka, Alexej
Valdman, Jan
LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2021), 2022, 13127 : 533 - 540
[25] A Weak Galerkin Finite Element Method for p-Laplacian Problem
Ye, Xiu
Zhang, Shangyou
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 11 (02) : 219 - 233
[26] Optimality of an adaptive finite element method for the p-Laplacian equation
Belenki, Liudmila
Diening, Lars
Kreuzer, Christian
IMA JOURNAL OF NUMERICAL ANALYSIS, 2012, 32 (02) : 484 - 510
[27] Three Solutions Theorem for p-Laplacian Problems with a Singular Weight and Its Application
Lee, Yong-Hoon
Kim, Seong-Uk
Lee, Eun Kyoung
ABSTRACT AND APPLIED ANALYSIS, 2014,
[28] Besov regularity and new error estimates for finite volume approximations of the p-laplacian
Boris Andreianov
Franck Boyer
Florence Hubert
Numerische Mathematik, 2005, 100 : 565 - 592
[29] Positive solutions for the p-Laplacian: application of the fibrering method
Drabek, P
Pohozaev, SI
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 : 703 - 726
[30] Besov regularity and new error estimates for finite volume approximations of the p-laplacian
Andreianov, B
Boyer, F
Hubert, F
NUMERISCHE MATHEMATIK, 2005, 100 (04) : 565 - 592

← 1 2 3 4 5 →