Complete minimal graphs with prescribed asymptotic boundary on rotationally symmetric Hadamard surfaces

Autor:	Miriam Telichevesky, Jaime Ripoll
Rok vydání:	2012
Předmět:	Dirichlet problem Pure mathematics Minimal surface Hadamard three-circle theorem Hadamard transform Hadamard three-lines theorem Mathematical analysis Geometry and Topology Sectional curvature Hadamard matrix Hadamard's inequality Mathematics
Zdroj:	Geometriae Dedicata. 161:277-283
ISSN:	1572-9168 0046-5755
DOI:	10.1007/s10711-012-9706-4
Popis:	It is proved that if M is a rotationally symmetric Hadamard surface which is conformally equivalent to the hyperbolic disk then the asymptotic Dirichlet problem for the minimal surface equation is uniquely solvable for any continuous asymptotic boundary data. This result gives a partial answer of a question in Galvez and Rosenberg (Am J Math 132:1249–1273, 2010) about the existence of entire minimal graphs on Hadamard surfaces with sectional curvature possibly degenerating at infinity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8efbfb6f958672a6b03dceb2668f939b https://doi.org/10.1007/s10711-012-9706-4 Zobrazit plný text záznamu Full text from SpringerLink