p拉普拉斯Dirichlet问题的非平凡解

数学物理学报 ›› 2013, Vol. 33 ›› Issue (1): 165-173.

p拉普拉斯Dirichlet问题的非平凡解

裴瑞昌

天水师范学院数学与统计学院甘肃天水 741001

收稿日期:2011-11-04 修回日期:2012-10-30 出版日期:2013-02-25 发布日期:2013-02-25
基金资助:
国家自然科学基金(10671156)资助

Nontrivial Solutions for p-Laplacian Dirichlet Problem

PEI Rui-Chang

College of Mathematics and Statistics, Tianshui Normal University, Ganshu Tianshui 741001

Received:2011-11-04 Revised:2012-10-30 Online:2013-02-25 Published:2013-02-25
Supported by:
国家自然科学基金(10671156)资助

摘要/Abstract

摘要：

研究一类特殊的p 拉普拉斯Dirichlet问题. 当非线性项在正无穷远处是超线性而在负无穷远处是渐近线性情形, 使用极小极大方法建立非平凡解的存在性结果

关键词: 山路理论, 渐近线性, 超线性, Dirichlet 问题, 单侧共振

Abstract:

A class of particular p-Laplacian Dirichlet problem is studied. When the nonlinear term is superlinear at the positive infinity but asymptotically linear at the negative infinity, the existence of nontrivial solutions is obtained by using minimax methods.

Key words: Mountain pass theorem, Asymptotically linear, Superlinear, Dirichlet problem, One side resonance

中图分类号:

35J35

裴瑞昌. p拉普拉斯Dirichlet问题的非平凡解[J]. 数学物理学报, 2013, 33(1): 165-173.

PEI Rui-Chang. Nontrivial Solutions for p-Laplacian Dirichlet Problem[J]. Acta mathematica scientia,Series A, 2013, 33(1): 165-173.

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