Uniform anti-maximum principle for polyharmonic boundary value problems

Clément, Philippe; Sweers, Guido

doi:10.1090/S0002-9939-00-05768-3

Uniform anti-maximum principle for polyharmonic boundary value problems
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by Philippe Clément and Guido Sweers PDF

Proc. Amer. Math. Soc. 129 (2001), 467-474 Request permission

Abstract:

A uniform anti-maximum principle is obtained for iterated polyharmonic Dirichlet problems. The main tool, combined with regularity results for weak solutions, is an estimate for positive functions in negative Sobolev norms.

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