Periodic Solutions for Second Order Equations with the Scalar p-Laplacian and Nonsmooth Potential

被引：1
|
作者：
Papageorgiou, Nikolaos S. [1 ]
Yannakakis, Nikolaos [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2004年 / 47卷 / 01期
关键词：
Nonsmooth critical point theory; Locally Lipschitz function; Subdifferential; Linking sets; Linking theorem; Nonsmooth C-condition; p-Laplacian; Eigenvalues;
D O I：
10.1619/fesi.47.107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we examine a scalar equation driven by the p-Laplacian and having periodic boundary conditions and a nonsmooth potential j(t, x). We assume that asymptotically at +/-infinity, the quantity pj(t,x)/vertical bar x vertical bar(p) lies between the first two eigenvalues lambda(0) = 0 and lambda(1), with possible interaction (resonance) with lambda(0) = 0. We show that the equation has a solution. The method of proof uses the nonsmooth Critical Point Theory and in particular a recently established version of the Linking Theorem.
引用
收藏
页码：107 / 117
页数：11
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