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    Existence and Estimates of Solutions for Various Elliptic Equation Models

    Jiang Yongsheng 2017.pdf (1.035Mb)
    Access Status
    Open access
    Authors
    Jiang, Yongsheng
    Date
    2017
    Supervisor
    Yong Hong Wu
    Type
    Thesis
    Award
    PhD
    
    Metadata
    Show full item record
    Faculty
    Science and Engineering
    School
    Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/73548
    Collection
    • Curtin Theses
    Abstract

    The thesis is devoted to studying the existence and estimates of solutions for various elliptic equations. We establish the partial Schauder estimates to a sub-elliptic equation by using a new estimate of the Newton potential. By using the truncated technique we establish the sufficient condition for the existence of the solution to a nonlinear elliptic equation with negative exponent. A new variational functional is developed to study a 2-dimensional Minkowski problem.

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