Search for dissertations about: "bounded exhaustion function"
Found 3 swedish dissertations containing the words bounded exhaustion function.
-
1. Regularity and boundary behavior of solutions to complex Monge–Ampère equations
Abstract : In the theory of holomorphic functions of one complex variable it is often useful to study subharmonic functions. The subharmonic can be described using the Laplace operator. When one studies holomorphic functions of several complex variables one should study the plurisubharmonic functions instead. READ MORE
-
2. Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables
Abstract : This thesis consists of a comprehensive summary and six scientific papers dealing with the boundary behaviour of functions related to parabolic partial differential equations and several complex variables.Paper I concerns solutions to non-linear parabolic equations of linear growth. READ MORE
-
3. The plurisubharmonic Mergelyan property
Abstract : In this thesis, we study two different kinds of approximation of plurisubharmonic functions. The first one is a Mergelyan type approximation for plurisubharmonic functions. READ MORE