Search for dissertations about: "elliptic-equations"
Showing result 1 - 5 of 22 swedish dissertations containing the word elliptic-equations.
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1. Homogenization of some elliptic equations with connections to elasticity
Abstract : In this PhD thesis we prove some properties of elliptic equations in connection with periodic homogenization. We mainly study the stationary linearized elasticity system. This thesis consists of five papers complemented with a short introduction.The first paper concerns some elliptic equations on a domain with oscillating boundary. READ MORE
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2. Boundary Value Problems for Nonlinear Elliptic Equations in Divergence Form
Abstract : The thesis consists of three papers focussing on the study of nonlinear elliptic partial differential equations in a nonempty open subset Ω of the n-dimensional Euclidean space Rn. We study the existence and uniqueness of the solutions, as well as their behaviour near the boundary of Ω. READ MORE
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3. On Steady Water Waves and Their Properties
Abstract : Abstract: This thesis consists of four papers related to various aspects of steady water waves. Paper I: Deep-water waves with vorticity: symmetry and rotational behaviour. We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. READ MORE
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4. On Poincaré, Sobolev, and Harnack inequalities for certain degenerate elliptic equations
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5. Multiplicity of solutions of nonlinear elliptic equations with Z/2-symmetry
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