ONE DIMENSIONAL SYMMETRY OF SOLUTIONS TO SOME ANISOTROPIC QUASILINEAR ELLIPTIC EQUATIONS IN THE PLANE

被引：0

作者：

Riey, Giuseppe ^{[1
]}

Sciunzi, Berardino ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Cosenza, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 03期

关键词：

Degenerate anisotropic elliptic PDEs; geometric analysis; rigidity and symmetry results; CONJECTURE; GIORGI; REGULARITY;

D O I：

10.3934/cpaa.2012.11.1157

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove one-dimensional symmetry of monotone solutions for some anisotropic quasilinear elliptic equations in the plane.

引用

页码：1157 / 1166

页数：10

共 50 条

[1] EXISTENCE OF RENORMALIZED SOLUTIONS FOR SOME ANISOTROPIC QUASILINEAR ELLIPTIC EQUATIONS
Ahmedatt, T.
Ahmed, A.
Hjiaj, H.
Touzani, A.
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2020, 44 (04): : 617 - 637
[2] One-dimensional symmetry of bounded entire solutions of some elliptic equations
Berestycki, H
Hamel, F
Monneau, R
DUKE MATHEMATICAL JOURNAL, 2000, 103 (03) : 375 - 396
[3] MONOTONICITY OF THE SOLUTIONS OF SOME QUASILINEAR ELLIPTIC EQUATIONS IN THE HALF-PLANE, AND APPLICATIONS
Damascelli, Lucio
Sciunzi, Berardino
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2010, 23 (5-6) : 419 - 434
[4] SYMMETRY AND MULTIPLE SOLUTIONS FOR CERTAIN QUASILINEAR ELLIPTIC EQUATIONS
Filippucci, Roberta
Pucci, Patrizia
Varga, Csaba
ADVANCES IN DIFFERENTIAL EQUATIONS, 2015, 20 (7-8) : 601 - 634
[5] Isolated singularities of solutions of quasilinear anisotropic elliptic equations
Namlyeyeva, Yuliya V.
Shishkov, Andrey E.
Skrypnik, Igor I.
ADVANCED NONLINEAR STUDIES, 2006, 6 (04) : 617 - 641
[6] Gradient regularity for solutions to quasilinear elliptic equations in the plane
De Cave, Linda Maria
Sbordone, Carlo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (02) : 537 - 551
[7] One-dimensional symmetry for solutions of quasilinear equations in R2.
Farina, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2003, 6B (03): : 685 - 692
[8] Infinitely many solutions for quasilinear elliptic equations with lack of symmetry
Candela, A. M.
Palmieri, G.
Salvatore, A.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 172 : 141 - 162
[9] Existence of solutions for anisotropic quasilinear elliptic equations with variable exponent
Boureanu, Maria-Magdalena
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2010, 1 (03) : 387 - 411
[10] Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents
Stancu-Dumitru, Denisa
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2010, 17 (05) : 875 - 889

← 1 2 3 4 5 →