Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • Appendix B - Local Positivity of Intersections

  • Chris Wendl, Humboldt-Universität zu Berlin
  • Book:
    Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
    Published online:
    06 March 2020
    Print publication:
    26 March 2020, pp 108-157

  • Summary

    The primary goal of this appendix is to explain a more or less self-contained proof of local positivity of intersections for holomorphic curves. The exposition begins with a survey of the main results needed from elliptic regularity theory; here most of the proofs are only sketched, but an effort is made to include all of the important ideas and avoid unnecessary technical overhead (e.g., we do not need to use the Calderon–Zygmund inequality). This leads to a proof of the similarity principle, and the latter is the main tool needed for proving a local representation formula that may be viewed as a “weak version” of the Micallef–White theorem. This representation formula is then used to prove positivity of intersections and give a precise definition of the local singularity index for a nonconstant holomorphic curve in dimension 4.

  • Regularity of Standing Waves on Lipschitz Domains

  • Michael Taylor
  • Journal:
    Canadian Journal of Mathematics / Volume 65 / Issue 3 / 01 June 2013
    Published online by Cambridge University Press:
    20 November 2018, pp. 702-720
    Print publication:
    01 June 2013
    • Article
      • You have access
    • PDF
    • Export citation

  • We analyze the regularity of standing wave solutions to nonlinear Schrödinger equations of power type on bounded domains, concentrating on Lipschitz domains. We establish optimal regularity results in this setting, in Besov spaces and in Hölder spaces.