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.
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页码：1345 / 1361
页数：17
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