无界区域上含p-Laplacian的共振问题

黄毅生;周育英

数学学报 ›› 2002, Vol. 45 ›› Issue (5) : 841-846.

PDF(413 KB)
PDF(413 KB)
数学学报 ›› 2002, Vol. 45 ›› Issue (5) : 841-846. DOI: 10.12386/A2002sxxb0109
论文

无界区域上含p-Laplacian的共振问题

    黄毅生;周育英
作者信息 +

Resonance Problems for the p-Laplacian on Unbounded Domains

    Yi Sheng HUANG,Yu Ying ZHOU
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摘要

本文利用变分方法研究如下边值问题的可解性:-△pu=μQ(x)|u|p-2u+f(x,u),u∈D_0~1,p(Ω),其中Ω是RN中的开集,1

Abstract

By using the variational method, we discuss the existence of solution of the boundary value problem-△pu=μQ(x)|u|p-2u+f(x,u), u∈D01,p(Ω), where Ω is an open set of RN, 10 and both functions Q and f may change sign.

关键词

无界区域 / p-Laplacian / 变分方法

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黄毅生;周育英. 无界区域上含p-Laplacian的共振问题. 数学学报, 2002, 45(5): 841-846 https://doi.org/10.12386/A2002sxxb0109
Yi Sheng HUANG,Yu Ying ZHOU. Resonance Problems for the p-Laplacian on Unbounded Domains. Acta Mathematica Sinica, Chinese Series, 2002, 45(5): 841-846 https://doi.org/10.12386/A2002sxxb0109
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