WIENER CRITERION AND POTENTIAL ESTIMATES FOR OBSTACLE PROBLEMS RELATIVE TO DEGENERATE ELLIPTIC-OPERATORS

被引：4

作者：

BIROLI, M

MOSCO, U

机构：

[1] POLITECN MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY

[2] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1991年 / 159卷

关键词：

D O I：

10.1007/BF01766304

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We give a Wiener's type criterion for the continuity of the local solutions of obstacle problems relative to a degenerate elliptic operator. Moreover, we give an estimate on the modulus of continuity of the solutions and we also estimtate the <<energy decay>> at a point.

引用

页码：255 / 281

页数：27

共 18 条

[1]

ANCONA A, 1973, THEORIE POTENTIEL LE

[2]

[Anonymous], 1982, JBER DT MATH VEREIN

[3]

BIROLI M, 1986, B UNIONE MAT ITAL, V5B, P689

[4]

BIROLI M, 1988, B UMI B, V5, P713

[5]

BIROLI M, IN PRESS DIFF INT EQ

[6]

WEIGHTED POINCARE AND SOBOLEV INEQUALITIES AND ESTIMATES FOR WEIGHTED PEANO MAXIMAL FUNCTIONS [J].

CHANILLO, S ;

WHEEDEN, RL .

AMERICAN JOURNAL OF MATHEMATICS, 1985, 107 (05) :1191-1226

[7]

DALMASO G, 1984, CALCOLO VARIAZIONI

[8]

DALMASO G, 1984, 3RD INT SCH MATH G S

[9]

FABES E, 1982, ANN I FOURIER, V3, P151

[10]

THE LOCAL REGULARITY OF SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].

FABES, EB ;

KENIG, CE ;

SERAPIONI, RP .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (01) :77-116

← 1 2 →