Sökning: "Dirichlet problem"

Visar resultat 1 - 5 av 32 avhandlingar innehållade orden Dirichlet problem.

  1. 1. Dirichlet's problem in Pluripotential Theory

    Detta är en avhandling från Umeå : Matematik och matematisk statistik

    Författare :Hoàng Hiệp Phạm; Umeå universitet.; [2008]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; pluripotential theory; plurisubharmonic function; subextension; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we focus on Dirichlet's problem for the complex Monge-Ampère equation. That is, for a given non-negative Radon measure µ we are interested in the conditions under which there exists a plurisubharmonic function u such that (ddcu)n=µ, where (ddc)n is the complex Monge-Ampère operator. LÄS MER

  2. 2. Some new results concerning general weighted regular Sturm-Liouville problems

    Detta är en avhandling från Luleå : Luleå University of Technology

    Författare :Mervis Kikonko; Luleå tekniska universitet.; [2016]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Sturm-Liouville problem; Right-definite; left-definite; non-definite; indefinite; Dirichlet problem; spectrum; eigenvalues; non-real eigenvalues; Richardson number; Richardson index; turning point; Mathematics; Matematik;

    Sammanfattning : In this PhD thesis we study some weighted regular Sturm-Liouville problems in which the weight function takes on both positive and negative signs in an appropriate interval [a,b]. With such  problems there is the possible existence of non-real eigenvalues, unlike in the definite case (i.e. LÄS MER

  3. 3. New weighted inequalities with applications to pseudodifferential operators

    Detta är en avhandling från Linköping : Linköpings universitet

    Författare :Stefan Eilertsen; Linköpings universitet.; Linköpings universitet.; [2001]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weighted integral inequalities; fractional Laplacian; Dirichlet problem; behavior near the boundary; special functions;

    Sammanfattning : This thesis is devoted to weighted integral inequalities and their applications to the  study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 < μ < n/2 to have the so called weighted positivity property, the weight being the fundamental solution of the operator. LÄS MER

  4. 4. The complex Monge-Ampére operator on bounded hyperconvex domains

    Detta är en avhandling från Umeå : Department of Mathematics, Umeå University

    Författare :Per Åhag; Umeå universitet.; [2002]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex Monge-Ampère operator; currents; Dirichlet problem; hyperconvex domain; Perron-Bremermann envelope; pluripotential theory; plurisubharmonic function; MATHEMATICS Applied mathematics Mathematical statistics; MATEMATIK Tillämpad matematik Matematisk statistik; matematisk statistik; Mathematical Statistics;

    Sammanfattning : .... LÄS MER

  5. 5. The Double Obstacle Problem on Metric Spaces

    Detta är en avhandling från Linköping : Linköping University Electronic Press

    Författare :Zohra Farnana; Linköpings universitet.; Linköpings universitet.; [2009]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis we investigate the double obstacle problem for p-harmonic functions on metric spaces. We minimize the p-energy integral among all functions which have prescribed boundary values and lie between two given obstacles. LÄS MER