On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations

博士 === 淡江大學 === 數學學系博士班 === 101 === In this thesis, we study the existence of solutions to quasilinear elliptic equations with Dirichlet and Robin conditions, and the uniqueness of solutions under Robin conditions. Also, we investigate the radial symmetric solutions for a Hardy-Sobolev equation and...

Full description

Bibliographic Details
Main Authors: Yi-Jung Chen, 陳宜榮
Other Authors: Chuan-Jen Chyan
Format: Others
Language:en_US
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/74432510969925170840
Description
Summary:博士 === 淡江大學 === 數學學系博士班 === 101 === In this thesis, we study the existence of solutions to quasilinear elliptic equations with Dirichlet and Robin conditions, and the uniqueness of solutions under Robin conditions. Also, we investigate the radial symmetric solutions for a Hardy-Sobolev equation and derive the result that there exists at most one positive radial symmetric singular solution for the supercritical case.