Sökning: "p-Poincaré-inequality"

Hittade 3 uppsatser innehållade ordet p-Poincaré-inequality.

  1. 1. Admissibility and Ap classes for radial weights in Rn

    Kandidat-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Författare :Simon Bladh; [2023]
    Nyckelord :Doubling measure; exponent sets; p-admissible weight; Ap-weight; p-Poincaré- inequality; radial weight;

    Sammanfattning : In this thesis we study radial weights on Rn. We study two radial weights with different exponent sets. We show that they are both 1-admissible by utilizing a previously shown sufficient condition, for radial weights to be 1-admissible, together with some results connecting exponent sets and Ap weights. LÄS MER

  3. 2. Exponent Sets and Muckenhoupt Ap-weights

    Kandidat-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Författare :Jakob Jonsson; [2022]
    Nyckelord :Capacity; doubling measure; exponent set; integral; measure; Muckenhoupt Ap-weight; p-admissible weight; p-Poincaré-inequality; radial weight; weighted Rn;

    Sammanfattning : In the study of the weighted p-Laplace equation, it is often important to acquire good estimates of capacities. One useful tool for finding such estimates in metric spaces is exponent sets, which are sets describing the local dimensionality of the measure associated with the space. LÄS MER

  4. 3. Capacity estimates and Poincaré inequalities for the weighted bow-tie

    Master-uppsats, Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska fakulteten

    Författare :Andreas Christensen; [2017]
    Nyckelord :Bow-tie; Capacity; Metric space; Muckenhoupt weight; Poincaré inequality; Upper gradient; Weight function;

    Sammanfattning : We give a short introduction to various concepts related to the theory of p-harmonic functions on Rn, and some modern generalizations of these concepts to general metric spaces. The article Björn-Björn-Lehrbäck [6] serves as the starting point of our discussion. LÄS MER