SOME REMARKS ON SOBOLEV TYPE INEQUALITIES

被引：11

作者：

ADIMURTHI ^{[1
]}

YADAVA, SL ^{[1
]}

机构：

[1] TIFR CTR,BANGALORE 560012,KARNATAKA,INDIA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 1994年 / 2卷 / 04期

关键词：

D O I：

10.1007/BF01192092

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend two Sobolev type inequalities for balls to arbitrary smooth bounded domains. In the case of balls, one inequality is due to Brezis and Lieb and another is due to Escobar. The extension has been achieved by analyzing the asymptotic behaviour of solutions of certain semilinear Neumann problems.

引用

页码：427 / 442

页数：16

共 13 条

[1]

ADIMURTHI, 1991, COMMUN PART DIFF EQ, V16, P1733

[2]

ADIMURTHI, 1993, J FUNCT ANAL, V113, P318

[3]

ADIMURTHI, 1991, EFFECT GEOMETRY TOPO

[4]

ADIMURTHI, 1992, IN PRESS AUG P WORLD

[5]

ADIMURTHI, 1991, SCUOLA NORM SUP PISA, P9

[6]

Aubin T., 1982, NONLINEAR ANAL MANIF, V252

[7]

BREZIS H, 1983, J MATH PURE APPL, V62, P73

[8] SHARP CONSTANT IN A SOBOLEV TRACE INEQUALITY [J].

ESCOBAR, JF .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1988, 37 (03) :687-698

[9] CONFORMAL DEFORMATION OF A RIEMANNIAN METRIC TO A SCALAR FLAT METRIC WITH CONSTANT MEAN-CURVATURE ON THE BOUNDARY [J].

ESCOBAR, JF .

ANNALS OF MATHEMATICS, 1992, 136 (01) :1-50

[10]

Lions P.-L., 1985, LIMIT CASE PART, V1, P145, DOI 10.4171/RMI/6

← 1 2 →