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

Autor:	Ilkka Holopainen
Rok vydání:	2015
Předmět:	Dirichlet problem Pure mathematics 010308 nuclear & particles physics Hadamard transform Applied Mathematics 010102 general mathematics 0103 physical sciences p-Laplacian Mathematics::Differential Geometry 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Advances in Calculus of Variations. 9:163-185
ISSN:	1864-8266 1864-8258
DOI:	10.1515/acv-2014-0043
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9acdf9aef71513968c0cbb8ab3548dbc https://doi.org/10.1515/acv-2014-0043 Zobrazit plný text záznamu