POSITIVE SOLUTIONS FOR EQUATIONS AND SYSTEMS WITH p-LAPLACE-LIKE OPERATORS

被引：0

作者：

Garcia-Huidobro, Marta ^{[1
]}

Manasevich, Raul ^{[2
,3
]}

Ward, James R. ^{[4
]}

机构：

[1] Pontificia Univ Catolica Chile, Dept Matemat, Santiago 22, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago 3, Chile

[3] Univ Chile, Dept Ingn Matemat, Santiago 3, Chile

[4] Univ Alabama, Dept Math, Birmingham, AL 35294 USA

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2009年 / 14卷 / 5-6期

关键词：

BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; NONLINEAR-SYSTEMS; PHI-LAPLACIAN; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of positive solutions to boundary-value problems of the form (phi(u'))' + f (t, u) = 0, iota / E (0, 1) theta(u(0)) = beta theta(u,'(0)), theta(u(1) = beta, delta >= 0, where phi and theta are odd increasing homeomorphisms of the real line. We also prove the existence of positive solutions, to related systems. Our approach is via a priori estimates and Leray-Schauder degree.

引用

页码：401 / 432

页数：32

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