Semilinear and Quasilinear Elliptic Equations

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

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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

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