Browsing Department of Mathematics (MU) by Thesis Semester "2011 Spring"
Now showing items 14 of 4

Geometric combinatorics in discrete settings
(University of MissouriColumbia, 2011)This thesis is a compilation of work in which the author studies geometric configurations in finite fields and the integers modulo q. The results of this dissertation are threefold. First, we prove a finite field analog ... 
Nonlinear equations with natural growth terms
(University of MissouriColumbia, 2011)This thesis concerns the study of a class of second order quasilinear elliptic differential operators. For 1 < p < ∞, the model equation we consider is: (1) L(u) = Δpu  σ∣u∣p2u ... 
Quasimetric geometry: smoothness and convergence results
(University of MissouriColumbia, 2011)This thesis has two distinct yet related parts, the first pertaining to geometry on quasimetric spaces with emphasis on the Hausdorff outermeasure, the natural extension of the GromovPompeiuHausdorff distance to ... 
Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles
(University of MissouriColumbia, 2011)The present thesis consists of two main parts. In the first part, we prove that a function defined on a closed subset of a geometrically doubling quasimetric space which satisfies a Höldertype condition may be extended ...