MULTIPLICITY RESULTS TO A CLASS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

被引：0
|
作者：
Bonanno, Gabriele [1 ]
Winkert, Patrick [2 ]
机构：
[1] Univ Messina, Dept Civil Comp Construct Environm Engn & Appl Ma, I-98166 Messina, Italy
[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2014年 / 43卷 / 02期
关键词：
Elliptic variational-hemivariational inequality; nonsmooth critical point theory; p-Laplacian; NON-DIFFERENTIABLE FUNCTIONALS; NONLINEAR BOUNDARY-CONDITIONS; ELLIPTIC NEUMANN PROBLEMS; SIGN-CHANGING SOLUTIONS; CRITICAL-POINTS THEOREM; P-LAPLACIAN; EQUATIONS; EXISTENCE; SET;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with variational-hemivariational inequalities involving the p-Laplace operator and a nonlinear Neumann boundary condition. Based on an abstract critical point result, which is developed at the beginning of the paper, it is shown the existence of at least three solutions to such inequalities whereby the cases p > N and p <= N are treated separately. The applicability of these results is emphasized with suitable examples.
引用
收藏
页码：493 / 516
页数：24
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