Sökning: "infinitely many solutions"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden infinitely many solutions.

  1. 1. Topics in Nonlinear Elliptic Differential Equations

    Författare :Shoyeb Waliullah; Andrzej Szulkin; Thomas Bartsch; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Concentration-compactness principle; critical Sobolev exponent; symmetric solutions of elliptic equations; degenerate elliptic equation; Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; infinitely many solutions; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Sammanfattning : In this thesis we examine the existence of solutions to nonlinear elliptic partial differential equations via variational methods.In Paper I we consider the existence of constrained minimizers which correspond to solutions of equations involving the iterated Laplacian, the iterated p-Laplacian and the critical Sobolev exponent. LÄS MER

  3. 2. Selected Topics in Partial Differential Equations

    Författare :Mattias Enstedt; Michael Melgaard; William Desmond Evans; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; Applied mathematics; Tillämpad matematik;

    Sammanfattning : This Ph.D. thesis consists of five papers and an introduction to the main topics of the thesis. In Paper I we give an abstract criteria for existence of multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators. LÄS MER

  4. 3. Ghostpeakons

    Författare :Budor Shuaib; Hans Lundmark; Krzysztof Marciniak; Erik Wahlén; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we study peakons (peaked solitons), a class of solutions which occur in certain wave equations, such as the Camassa–Holm shallow water equation and its mathematical relatives, the Degasperis–Procesi, Novikov and Geng– Xue equations. These four non-linear partial differential equations are all integrable systems in the sense of having Lax pairs, infinitely many conservation laws, and multipeakon solutions given by explicitly known formulas. LÄS MER

  5. 4. 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

  7. 5. New Phenomena in the World of Peaked Solitons

    Författare :Marcus Kardell; Hans Lundmark; Stefan Rauch; Joakim Arnlind; Jonatan Lenells; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The aim of this work is to present new contributions to the theory of peaked solitons. The thesis consists of two papers,which are named “Newsolutionswith peakon creation in the Camassa–HolmandNovikov equations” and “Peakon-antipeakon solutions of the Novikov equation” respectively. LÄS MER