Abstract
Given a regular open subset Ω of ℝn and a 1,… , a N ∈ Ω, we define some weighted spaces as the set of functions defined in Ω \ a 1,… , a N which decay or blow up near each puncture a i at most at a certain prescribed rate. Then, we proceed to the investigation of the mapping properties of some class of elliptic operators which are defined between these spaces.
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© 2000 Springer Science+Business Media New York
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Pacard, F., Rivière, T. (2000). Elliptic Operators in Weighted Hölder Spaces. 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_2
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DOI: https://doi.org/10.1007/978-1-4612-1386-4_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7125-3
Online ISBN: 978-1-4612-1386-4
eBook Packages: Springer Book Archive