A sup × inf-type inequality is proved for the regular part of conformal factors for Rieman- nian metrics on surfaces with conical singularities of positive order α > 0. The proof is based on the explicit representation formula for solutions of the singular Liouville equa- tion and generalizes to the singular case an argument by I. Shafrir.
Bartolucci, D. (2013). A sup x inf-type inequality for conformal metrics on Riemann surfaces with conical singularities. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 403(2), 571-579.
A sup x inf-type inequality for conformal metrics on Riemann surfaces with conical singularities
BARTOLUCCI, DANIELE
2013-01-01
Abstract
A sup × inf-type inequality is proved for the regular part of conformal factors for Rieman- nian metrics on surfaces with conical singularities of positive order α > 0. The proof is based on the explicit representation formula for solutions of the singular Liouville equa- tion and generalizes to the singular case an argument by I. Shafrir.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
