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Licensed Unlicensed Requires Authentication Published by De Gruyter February 12, 2015

Nonsolvability of the asymptotic Dirichlet problem for the p-Laplacian on Cartan–Hadamard manifolds

Ilkka Holopainen

Abstract

We construct, by modifying Borbély's example, a 3-dimensional Cartan–Hadamard manifold M, with sectional curvatures at most -1, such that the asymptotic Dirichlet problem for the p-Laplacian is not solvable for any p > 1.

Funding source: Academy of Finland

Award Identifier / Grant number: 123633

Funding source: ESF Network HCAA

Received: 2011-10-6
Revised: 2014-10-27
Accepted: 2014-10-27
Published Online: 2015-2-12
Published in Print: 2016-4-1

© 2016 by De Gruyter

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