Rn上带权函数的超线性p-Laplace方程的无穷多解

  • 陈自高
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  • 华北水利水电学院数学与信息科学学院,河南郑州,450011

网络出版日期: 2012-01-25

基金资助

国家自然科学基金,河南省科技厅自然科学基金,河南省教育厅自然科学基金

Infinitely many solutions for superlinear p-Laplace equation with weights on Rn

  • CHEN Zi-gao
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Online published: 2012-01-25

摘要

在无界区域Rn上考虑了一类带权函数的超线性p-Laplace方程,其中非线性项是奇的.在比单调性较弱的条件下,通过利用带Cerami条件的喷泉定理得到了该问题的无穷多解的存在性,推广了一些已知结果.

本文引用格式

陈自高 . Rn上带权函数的超线性p-Laplace方程的无穷多解[J]. 河北大学学报(自然科学版), 2012 , 32(1) : 7 -11 . DOI: 10.3969/j.issn.1000-1565.2012.01.002

参考文献

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