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上线性情况下的无限域上非线性p-Laplacian问题 被引量：1

Nonlinear p-Laplacian Problems on Unbounded Domain
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摘要 研究了无限域上的非线性p Laplacian问题 .利用变分极值理论证明了 :如果上线性情况满足一定条件 ,非线性p We consider the p-Laplacian problemf (x, u)=-div(a(x)u^(p-2)u)+b(x)u^(p-2)u x∈Ω, u_(Ω)=0, (lim)｜x｜→∞=0where 1<p<n, Ω (R^n) is an exterior domain. Under certain conditions, we show the existence of solutions for this problem via critical point theory.
作者 喻宪生
机构地区 西安邮电学院数理系
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2004年第2期177-181,共5页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目 ( 10 1710 81) .
关键词 椭圆问题 非线性p-Laplacian问题 正解 上线性 无限域 变分极值理论 elliptic problem nonlinear p-Laplacian problem positive solutions
分类号 O175.25 [理学—基础数学]
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西南师范大学学报（自然科学版）
2004年 第2期

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