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 TitleExistence 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
Keywordp-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 AbstractWe 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
Identifierhttps://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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