Abstract
This chapter is devoted to the study of the problem
for all functionsF defined in the punctured unit ball. We will first derive some simple estimates which come from the fact that the operator L ε satisfies some maximum principle type property, away from the origin. Then, we will define the family of weighted spaces in which (4.1) will be studied. The main result of this chapter is the construction of some well-behaved right inverse for L ε in the unit ball.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Pacard, F., Rivière, T. (2000). Mapping Properties of L ε . In: Linear and Nonlinear Aspects of Vortices. Progress in Nonlinear Differential Equations and Their Applications, vol 39. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1386-4_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1386-4_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7125-3
Online ISBN: 978-1-4612-1386-4
eBook Packages: Springer Book Archive