A constant rank theorem for solutions of fully nonlinear elliptic equations

被引：53

作者：

Caffarelli, Luis

Guan, Pengfei

Ma, Xi-Nan

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

[3] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2007年 / 60卷 / 12期

关键词：

D O I：

10.1002/cpa.20197

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

[No abstract available]

引用

页码：1769 / 1791

页数：23

共 18 条

[1] Convex viscosity solutions and state constraints [J].

Alvarez, O ;

Lasry, JM ;

Lions, PL .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1997, 76 (03) :265-288

[2] Pinching estimates and motion of hypersurfaces by curvature functions [J].

Andrews, Ben .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 608 :17-33

[3] DIFFERENTIABILITY PROPERTIES OF SYMMETRIC AND ISOTROPIC FUNCTIONS [J].

BALL, JM .

DUKE MATHEMATICAL JOURNAL, 1984, 51 (03) :699-728

[4]

Besse A. L., 1987, RESULTS MATH RELATED, P10

[5] THE DIRICHLET PROBLEM FOR NONLINEAR 2ND-ORDER ELLIPTIC-EQUATIONS .3. FUNCTIONS OF THE EIGENVALUES OF THE HESSIAN [J].

CAFFARELLI, L ;

NIRENBERG, L ;

SPRUCK, J .

ACTA MATHEMATICA, 1985, 155 (3-4) :261-301

[6]

Caffarelli L.A., 1995, AM MATH SOC C PUBLIC, V43

[7] INTERIOR A PRIORI ESTIMATES FOR SOLUTIONS OF FULLY NON-LINEAR EQUATIONS [J].

CAFFARELLI, LA .

ANNALS OF MATHEMATICS, 1989, 130 (01) :189-213

[8] CONVEXITY OF SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS [J].

CAFFARELLI, LA ;

FRIEDMAN, A .

DUKE MATHEMATICAL JOURNAL, 1985, 52 (02) :431-456

[9]

EVANS LC, 1982, COMMUN PUR APPL MATH, V35, P333

[10] Convex hypersurfaces of prescribed curvatures [J].

Guan, B ;

Guan, PF .

ANNALS OF MATHEMATICS, 2002, 156 (02) :655-673

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