Abstract
In this paper, we consider the solution to Wente's problem with the modified Helmholtz operator -Delta + alpha I, where alpha is a positive constant. We study the best constant in the so-called Wente's inequality. At first, we consider the best constant associated to the L-infinity norm. Next, We study the case of the L-2 norm. (c) 2007 Elsevier Inc. All rights reserved.