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On the critical Neumann problem with weight in exterior domains

✍ Scribed by J. Chabrowski; Bernhard Ruf

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 219 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00059-2

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✦ Synopsis

In this paper we investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent in exterior domains. It is assumed that the coe cient Q is a positive and smooth function on c and ¿ 0 is a parameter. We examine the common e ect of the mean curvature of the boundary 9 and the shape of the graph of the coe cient Q on the existence of least energy solutions.

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