Catenoid-like solutions for the minimal surface equation
Jenn-Fang Hwang · Pacific Journal of Mathematics · 1998
Let Ω ⊂ R 2 be an unbounded domain with width of polynomial growth and let u satisfy the minimal surface equation in Ω.We find out an upper bound function for u and give an example to illustrate that the upper bound function obtained here is approximately optimal.In fact, the graph of the upper bound function is a generalization of a catenoid.