ON THE EXISTENCE OF RADIAL SOLUTIONS OF QUASI-LINEAR ELLIPTIC-EQUATIONS

被引：18

作者：

KICHENASSAMY, S ^{[1
]}

SMOLLER, J ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

NONLINEARITY | 1990年 / 3卷 / 03期

关键词：

D O I：

10.1088/0951-7715/3/3/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors give a method for proving the existence of (positive) radial solutions of quasi-linear elliptic equations taking into account the variation of lower-order terms. They find solutions of equations having oscillating nonlinearities under less restrictive conditions than those needed for variational or topological methods. They exhibit simple variational problems having a continuum of solutions. They also obtain invariant regions in C 1 for related parabolic problems.

引用

页码：677 / 694

页数：18

共 25 条

[11]

Hess P., 1981, COMMUN PART DIFF EQ, V6, P951

[12]

KICHENASSAMY S, 1985, CR ACAD SCI I-MATH, V300, P589

[13] QUASI-LINEAR PROBLEMS WITH SINGULARITIES [J].

KICHENASSAMY, S .

MANUSCRIPTA MATHEMATICA, 1987, 57 (03) :281-313

[14]

KICHENASSAMY S, 1987, IN PRESS HOUSTON J M

[15]

KICHENASSAMY S, 1987, IN PRESS COLLEGE FRA

[16]

Ladyzhenskaya O A, 1968, LINEAR QUASILINEAR E

[17]

LIONS JL, 1969, QUELQUES METHODES RE

[18] NOTE ON TOPOLOGICAL DEGREE FOR POTENTIAL OPERATORS [J].

RABINOWITZ, PH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 51 (02) :483-492

[19]

Smoller J., 1994, SHOCK WAVES REACTION, DOI DOI 10.1007/978-1-4684-0152-3

[20]

SMOLLER J, 1987, ARCH RAT MECH ANAL

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