Scalar curvature under boundary conditions

被引：5

作者：

Ambrosetti, A ^{[1
]}

Li, YY ^{[1
]}

Malchiodi, A ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 11期

关键词：

D O I：

10.1016/S0764-4442(00)00312-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss some existence results for the scalar curvature problems on manifolds with boundary. We address some perturbative cases using a finite-dimensional reduction, variational in nature. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：1013 / 1018

页数：6

共 10 条

[1] Variational perturbative methods and bifurcation of bound states from the essential spectrum [J].

Ambrosetti, A ;

Badiale, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1998, 128 :1131-1161

[2] Homoclinics: Poincare-Melnikov type results via a variational approach [J].

Ambrosetti, A ;

Badiale, M .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1998, 15 (02) :233-252

[3]

AMBROSETTI A, 2000, IN PRESS YAMABE SEAL

[4]

AUBIN T, 1998, NONLINEAR PROBLEMS D

[5]

Chang SYA, 1998, MATH ANN, V310, P473

[6] NONLINEAR NEUMANN PROBLEMS ON RIEMANNIAN-MANIFOLDS [J].

CHERRIER, P .

JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 57 (02) :154-206

[7] The Yamabe problem on manifolds with boundary: Existence and compactness results [J].

Han, ZC ;

Li, YY .

DUKE MATHEMATICAL JOURNAL, 1999, 99 (03) :489-542

[8]

HAN ZC, 2000, IN PRESS COMMUN ANAL

[9]

Li Y.Y., 1995, TOPOL METHOD NONL AN, V6, P309

[10] The critical point theory under general boundary conditions [J].

Morse, M ;

Van Schaack, GB .

ANNALS OF MATHEMATICS, 1934, 35 :545-571

← 1 →