Sökning: "Laplacian growth"

Hittade 3 avhandlingar innehållade orden Laplacian growth.

1. 1. Partial Balayage and Related Concepts in Potential Theory

   Författare :Joakim Roos; Henrik Shahgholian; Björn Gustafsson; Charles Smart; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial balayage; equilibrium measure; obstacle problem; divisible sandpile; Riemannian manifold; quadrature domain; Laplacian growth; mother body; Mathematics; Matematik;

   Sammanfattning : This thesis consists of three papers, all treating various aspects of the operation partial balayage from potential theory.The first paper concerns the equilibrium measure in the setting of two dimensional weighted potential theory, an important measure arising in various mathematical areas, e.g. LÄS MER

3. 2. Critical point theory with applications to semilinear problems without compactness

   Författare :Sara Maad; Jacqueline Fleckinger; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

   Sammanfattning : The thesis consists of four papers which all regard the study of critical point theory and its applications to boundary value problems of semilinear elliptic equations. More specifically, let Ω be a domain, and consider a boundary value problem of the form -L u + u = f(x,u) in Ω, and with the boundary condition u=0. LÄS MER

4. 3. Carleman-Sobolev classes and Green’s potentials for weighted Laplacians

   Författare :Behm Gustav; Håkan Hedenmalm; Jana Björn; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This thesis is based on two papers: the first one concerns Carleman-Sobolev classes for small exponents and the other solves Poisson's equation for the standard weighted Laplacian in the unit disc.In the first paper we start by noting that for small Lp-exponents, i.e. 0∞(R). LÄS MER