L(infinity)-solutions for some nonlinear degenerate elliptic and parabolic equations.

被引：33

作者：

Cirmi, GR

Porzio, MM

机构：

[1] UNIV CATANIA,DIPARTIMENTO MATEMAT,I-95125 CATANIA,ITALY

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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1995年 / 169卷

关键词：

D O I：

10.1007/BF01759349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of bounded solutions for equations whose prototype is: - div(v(x)\Du\p(-2)Du) + v(0)(x)u\u\p(-2) = v(x)\Du\(p) + f(x) - div(g(x)) in a bounded open set Omega, u = 0 on partial derivative Omega. We also consider the evolution case.

引用

页码：67 / 86

页数：20

共 22 条

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ALVINO A, 1978, RIC MAT, V27, P413

[2]

ALVINO A, 1980, RIC MAT, V29, P193

[3] L-INFINITY ESTIMATE FOR SOME NONLINEAR ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS AND APPLICATION TO AN EXISTENCE RESULT [J].