Symmetry Results for Positive Solutions of Some Elliptic Equations on Manifolds

被引：0

作者：

Luís Almeida

Yuxin Ge

机构：

[1] CNRS UMR-8536,Centre de Mathématiques et de Leurs Applications

[2] Ecole Normale Supérieure de Cachan,Centre de Mathématiques et de Leurs Applications

[3] CNRS UMR-8536,Département de Mathématiques

[4] Ecole Normale Supérieure de Cachan,undefined

[5] Université Paris XII-Val de Marne,undefined

来源：

Annals of Global Analysis and Geometry | 2000年 / 18卷

关键词：

comparison principles; isometries; manifolds; monotonicity; moving planes method; positive solutions of elliptic PDE; sliding method; symmetry;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We adapt the method of moving planes in order to obtainsymmetry results for positive solutions of some elliptic equations onmanifolds, in the case where our problem satisfies certain symmetryhypothesis. We also obtain monotonicity results using the slidingmethod.

引用

页码：153 / 170

页数：17

共 50 条

[1] Symmetry results for positive solutions of some elliptic equations on manifolds
Almeida, L
Ge, Y
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2000, 18 (02) : 153 - 170
[2] Some nonexistence results for positive solutions of elliptic equations in unbounded domains
Damascelli, L
Gladiali, F
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2004, 20 (01) : 67 - 86
[3] Some results on the qualitative properties of positive solutions of quasilinear elliptic equations
Berardino Sciunzi
[J]. Nonlinear Differential Equations and Applications NoDEA, 2007, 14 : 315 - 334
[4] Some results on the qualitative properties of positive solutions of quasilinear elliptic equations
Sciunzi, Berardino
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 14 (3-4): : 315 - 334
[5] Radial symmetry of positive solutions of nonlinear elliptic equations
Taliaferro, SD
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (02) : 219 - 253
[6] Symmetry and monotonicity results for solutions of certain elliptic PDEs on manifolds
Almeida, L
Ge, YX
[J]. NONLINEAR ANALYSIS AND ITS APPLICATIONS TO DIFFERENTIAL EQUATIONS, 2001, 43 : 161 - 173
[7] Symmetry properties for positive solutions to some elliptic equations in sector domains with large amplitude
Zhu, MJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (02) : 733 - 740
[8] Symmetry properties of some solutions to some semilinear elliptic equations
Farina, Alberto
Malchiodi, Andrea
Rizzi, Matteo
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2016, 16 (04) : 1209 - 1234
[9] The nonexistence of positive solutions to some elliptic equations
V. V. Kurta
[J]. Mathematical Notes, 1999, 65 : 462 - 469
[10] The nonexistence of positive solutions to some elliptic equations
Kurta, VV
[J]. MATHEMATICAL NOTES, 1999, 65 (3-4) : 462 - 469

← 1 2 3 4 5 →