Semilinear and Quasilinear Elliptic Equations

Guo, Zongming (1992) Semilinear and Quasilinear Elliptic Equations. PhD thesis, University of Glasgow.

Abstract

We are concerned with the solvability of boundary value problems and related general properties of solutions of semilinear equations and of quasilinear elliptic equations with a variety of domains. In Chapter 2, we concentrate on the study of existence and uniqueness of positive radially symmetric solutions of the equation (*) with a variety of Dirichlet and Neumann boundary conditions in annular domains. Using Leray-Schauder degree theory, we establish some new existence results. In Chapter 3, we shall give a new description of the generalized degree theory. In Chapter 4, we prove that there is a strong maximum principle for A+theta when 1 0. In Chapter 5, the existence and uniqueness of positive radial solutions of the problem (***) on O=BR with Dirichlet condition are proved. (Abstract shortened by ProQuest.).

• Item Type: Thesis (PhD)
• Qualification Level: Doctoral
• Additional Information: Adviser: J R L Webb
• Keywords: Mathematics
• Date of Award: 1992
• Depositing User: Enlighten Team
• Unique ID: glathesis:1992-76506
• Copyright: Copyright of this thesis is held by the author.
• Date Deposited: 19 Nov 2019 14:15
• Last Modified: 19 Nov 2019 14:15
• URI: https://theses.gla.ac.uk/id/eprint/76506