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非对称p-Laplacian Dirichlet问题的非平凡解（英文）

Nontrivial Solutions for Asymmetric p-Laplacian Dirichlet Problem
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摘要 本文研究一类特殊的p-Laplacian问题,其非线性项在正负无穷远处有不同的增长行为,即在正无穷远处超线性增长而在负无穷远处渐近线性增长.利用变分法结合Moser-Trudinger不等式,建立一些非平凡解的存在性结果. We consider a class of particular p-Laplacian Dirichlet problem with a right-hand side nonlinearity which exhibits asymmetric growth at ＋∞ and-∞. Namely, it is linear at-∞ and superlinear at ＋∞. Some existence results for nontrivial solution are established by using variational methods combined with Moser-Trudinger inequality.
作者 裴瑞昌 张吉慧
机构地区 天水师范学院数学与统计学院 南京师范大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2016年第3期477-487,共11页 Mathematica Applicata
基金 Supported by the National Natural Science Foundation of China(11571176) NSF of Gansu Province(1506RJZE114) TSNC(TSA1406) the Scientific Research Foundation of the Higher Education Institutions of Gansu Province(2015A-131,2015A-129)
关键词 非对称p-Laplacian DIRICHLET问题 渐近线性 超线性 次临界指数增长 单侧共振 Asymmetric p-Laplacian Dirichlet problem Asymptotically linear Superlinear Subcritical exponential growth One side resonance
分类号 O175.2 [理学—基础数学]
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应用数学
2016年 第3期

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