A priori estimates for solutions to anisotropic elliptic problems via symmetrization

被引：11

作者：

Alberico, A. ^{[1
]}

di Blasio, G. ^{[2
]}

Feo, F. ^{[3
]}

机构：

[1] CNR, Sez Napoli, Ist Applicaz Calcolo M Picone, Via P Castellino 111, I-80131 Naples, Italy

[2] Seconda Univ Napoli, Dipartimento Matemat & Fis, Viale Lincoln,5, I-81100 Caserta, Italy

[3] Univ Napoli Pathenope, Dipartimento Ingn, Ctr Direz Isola C4, I-80143 Naples, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 07期

关键词：

Anisotropic symmetrization rearrangements; a priori estimates; Dirichlet problems; ISOPERIMETRIC-INEQUALITIES; VARIATIONAL-PROBLEMS; REGULARITY; BOUNDEDNESS; EXISTENCE; EQUATIONS; MINIMIZERS; UNIQUENESS; INTEGRALS;

D O I：

10.1002/mana.201500282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a comparison result for solutions to nonlinear fully anisotropic elliptic problems by means of anisotropic symmetrization. As consequence we deduce a priori estimates for norms of the relevant solutions. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：986 / 1003

页数：18

共 47 条

[1] PARTIAL REGULARITY UNDER ANISOTROPIC (P, Q) GROWTH-CONDITIONS [J].

ACERBI, E ;

FUSCO, N .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 107 (01) :46-67

[2] Comparison estimates in anisotropic variational problems [J].

Alberico, Angela ;

Cianchi, Andrea .

MANUSCRIPTA MATHEMATICA, 2008, 126 (04) :481-503

[3] Estimates for Solutions to Anisotropic Elliptic Equations with Zero Order Term [J].

Alberico, Angela ;

Di Blasio, Giuseppina ;

Feo, Filomena .

GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE'S, 2016, 176 :1-15

[4] Boundedness of Solutions to Anisotropic Variational Problems [J].

Alberico, Angela .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (03) :470-486

[5]

ALVINO A, 1978, RIC MAT, V27, P413

[6] Convex symmetrization and applications [J].

Alvino, A ;

Ferone, V ;

Trombetti, G ;

Lions, PL .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (02) :275-293

[7]

[Anonymous], ATTI SEM MAT FIS U M

[8]

[Anonymous], 2002, MONOGR TXB PURE APPL

[9]

Antontsev S.N., 2002, PROGR NONLINEAR DIFF, V48

[10]

Antontsev S, 2008, DIFFER INTEGRAL EQU, V21, P401

← 1 2 3 4 5 →