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.
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© 2000 Springer Science+Business Media New York
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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
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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