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Local solvability for semilinear Fuchsian equations

✍ Scribed by Francesca Messina

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
248 KB
Volume
257
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider a semilinear elliptic operator P on a manifold B with a conical singular point. We assume P is Fuchs type in the linear part and has a non–linear lower order therms. Using the Schauder fixed point theorem, we prove the local solvability of P near the conical point in the weighted Sobolev spaces.

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