一类p-laplace方程基态解的存在性

兰州大学机构库 >数学与统计学院

	一类p-laplace方程基态解的存在性
Alternative Title	Existence of ground states for a class of 𝑝p-Laplace equations
	李多瑞
Thesis Advisor	赵敦
	2015-05-29
Degree Grantor	兰州大学
Place of Conferral	兰州
Degree Name	硕士
Keyword	p-Laplace 方程基态解位势能量的弱连续性 Nehari流形
Abstract	本文主要讨论了R^n(n≥3)上如下一类p-Laplace方程： -∆_p u(x)+V(x) \|u\|^(p-2) u(x)-\|u\|^(q-2) u(x)=0. 在V(x)和K(x)满足一定的可积性与有界性条件下，运用Nehari流形技巧和位势能量的弱连续性质，证明了基态解的存在性。
Other Abstract	We investigate the existence of the ground states for a class of p-Laplace equations: -∆_p u(x)+V(x) \|u\|^(p-2) u(x)-\|u\|^(q-2) u(x)=0. Under some conditions on integrability and boundedness of V (x)and K(x), by combining the weak continuity of the potential energies with the Nehari manifold approach, theexistence of the ground state solution is proved.
URL	查看原文
Language	中文
Document Type	学位论文
Identifier	https://ir.lzu.edu.cn/handle/262010/224532
Collection	数学与统计学院
Recommended Citation GB/T 7714	李多瑞. 一类p-laplace方程基态解的存在性[D]. 兰州. 兰州大学,2015.

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