✦ LIBER ✦

Local solvability of linear functional equations

✍ Scribed by L. P. Kuchko

Book ID: 112471428
Publisher: Springer
Year: 1988
Tongue: English
Weight: 315 KB
Volume: 39
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01057230

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## 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