ON A SINGULAR NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM

被引：569

作者：

LAZER, AC ^{[1
]}

MCKENNA, PJ ^{[1
]}

机构：

[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06268

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 03期

关键词：

EIGENFUNCTION; SUBSOLUTION; SUPERSOLUTION;

D O I：

10.2307/2048410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the singular boundary-value problem DELTA-u + p(x)u-gamma = 0 in OMEGA, u/partial-OMEGA = 0, where gamma > 0. Under the assumption p(x) > 0 and certain smoothness assumptions, we show that there exists a solution which is smooth on OMEGA and continuous on OMEGABAR.

引用

页码：721 / 730

页数：10

共 6 条

[1]

Crandall M. G., 1977, COMMUN PART DIFF EQ, V2, P193

[2] SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEMS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].

GATICA, JA ;

OLIKER, V ;

WALTMAN, P .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 79 (01) :62-78

[3]

Gilbarg D., 1977, ELLIPTIC PARTIAL DIF, V224

[4]

KINDERLEHRER D, 1980, INTRO VARIATIONAL IN

[5]

SATINGER DH, 1972, INDIANA U MATH J, V21, P979

[6]

Taliaferro S. D., 1979, Nonlinear Analysis Theory, Methods & Applications, V3, P897, DOI 10.1016/0362-546X(79)90057-9

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