POSITIVE SOLUTIONS FOR THE PERIODIC SCALAR p-LAPLACIAN: EXISTENCE AND UNIQUENESS

被引：1

作者：

Kyritsi, Sophia Th. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Hellen Naval Acad, Dept Math, Piraeus 18539, Greece

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 04期

关键词：

Scalar p-Laplacian; Unilateral growth; Existence and uniqueness of positive solutions; Weighted eigenvalues; EIGENVALUES;

D O I：

10.11650/twjm/1500406738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlinear periodic problem driven by the scalar p-Laplacian. The reaction term is a Caratheodory function f (t, x) which satisfies only a unilateral growth condition in the x-variable. Assuming strict monotonicity for the quotient f (t, x)/x(p-1)using variational methods coupled with suitable truncation techniques, we produce necessary and sufficient conditions for the existence and uniqueness of positive solutions.

引用

页码：1345 / 1361

页数：17

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