There are various results on the existence and uniqueness of capillary minimal surfaces. Capillary minimal surface in a domain is a minimal surface  which meets  in a constant contact angle along . If the contact angle is a right angle then such a surface is called a free boundary minimal surface. A famous Fraser-Li conjecture asks if the critical catenoid would be the only embedded free boundary minimal annulus in a unit ball in  . In this talk, I will describe some of the recent results on the existence and uniqueness of capillary minimal surfaces mostly exploiting a well known Weierstrass representation formula. The talk will include some results and observations regarding Fraser-Li conjecture based on a joint work with Jaehoon Lee.

 

WebEx Link: 

https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=mc6cde9d97fc634f0eee12b8426d3609f