Sökning: "Sobolev inequalities"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden Sobolev inequalities.

  1. 1. Spectral Inequalities and Their Applications in Quantum Mechanics

    Författare :Fabian Portmann; Ari Laptev; Robert Seiringer; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral inequalities; quantum mechanics; Hardy inequalities; Sobolev inequalities; Lieb-Thirring inequalities; stability of matter; Bose gases; Bose-Einstein condensation; Mathematics; Matematik; Fysik; Physics;

    Sammanfattning : The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics.In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. LÄS MER

  3. 2. On Poincaré, Sobolev, and Harnack inequalities for certain degenerate elliptic equations

    Författare :Henrik Delin; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  4. 3. Capacities, Poincaré inequalities and gluing metric spaces

    Författare :Andreas Christensen; Anders Björn; Jana Björn; Tomas Sjödin; Tapio Rajala; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis consists of an introduction, and one research paper with results related to potential theory both in the classical Euclidean setting, as well as in quite general metric spaces.The introduction contains a theoretical and historical background of some basic concepts, and their more modern generalisations to metric spaces developed in the last 30 years. LÄS MER

  5. 4. Some special problems in elliptic and parabolic variational inequalities

    Författare :Gulchehra Kulieva; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This Licentiate Thesis is devoted above all to the investigation of variational inequalities. Chapter 1 deals with linear elliptic variational inequalities, where the operator is degenerated or singular, which involves the use of some weighted Sobolev spaces. LÄS MER

  7. 5. Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators

    Författare :Rupert L. Frank; Ari Laptev; Jan Philip Solovej; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators. In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator. LÄS MER