A sup x inf-type inequality for conformal metrics on Riemann surfaces with conical singularities

作者：Bartolucci Daniele^*

来源：Journal of Mathematical Analysis and Applications, 2013, 403(2): 571-579.

DOI：10.1016/j.jmaa.2013.02.051

• Conformal metrics
• Conical singularities
• Sup plus inf and sup x inf inequalities
• Singular Liouville equation

A sup x inf-type inequality is proved for the regular part of conformal factors for Riemannian metrics on surfaces with conical singularities of positive order alpha %26gt; 0. The proof is based on the explicit representation formula for solutions of the singular Liouville equation and generalizes to the singular case an argument by I. Shafrir.

• 出版日期2013-7-15