EXTENSIONS FOR SOBOLEV MAPPINGS BETWEEN MANIFOLDS

被引：8

作者：

BETHUEL, F

DEMENGEL, F

机构：

[1] UNIV PARIS 11,NUMER ANAL LAB,F-91405 ORSAY,FRANCE

[2] UNIV PARIS 11,EDP,URA 760,F-91405 ORSAY,FRANCE

[3] UNIV CERGY PONTOISE,F-95806 CERGY,FRANCE

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1995年 / 3卷 / 04期

关键词：

D O I：

10.1007/BF01187897

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two compact Riemannian manifolds M and N, such that M has a boundary (but not N). We address the extension problem in the Sobolev class, namely, we investigate the question: for u epsilon W-1-1/p,W-P (partial derivative M,N) is there a map V in W-1/P(M,N) such that V = u on partial derivative M. Various results are given, and an emphasis is put on the special (simple) case N = S-1.

引用

页码：475 / 491

页数：17

共 13 条

[1] DENSITY OF SMOOTH FUNCTIONS BETWEEN 2 MANIFOLDS IN SOBOLEV SPACES [J].

BETHUEL, F ;

ZHENG, XM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1988, 80 (01) :60-75

[2] THE APPROXIMATION PROBLEM FOR SOBOLEV MAPS BETWEEN 2 MANIFOLDS [J].

BETHUEL, F .

ACTA MATHEMATICA, 1991, 167 (3-4) :153-206

[3]

BETHUEL F, CHARACTERIZATION MAP

[4]

BETHUEL F, IN PRESS NONLINEAR A

[5]

BETHUEL F, 1990, P NATO WORKSHOP NEMA

[6]

DEMENGEL F, 1990, CR ACAD SCI I-MATH, V310, P553

[7]

DEMENGEL F, IN PRESS SOME SPACES

[8]

Gagliardo E., 1957, REND SEM MAT U PADOV, V27, P284

[9]

LIONS JL, 1968, PROBLEMES AUX LIMITE, V1

[10]

SCHOEN R, 1983, J DIFFER GEOM, V18, P253

← 1 2 →