On a Variational Approach for Water Waves
D. Arama, Giovanni Leoni · Communications in Partial Differential Equations · 2012
Using a variational method due to Alt and Caffarelli [1 Alt , H.W. , Caffarelli , L.A. ( 1981 ). Existence and regularity for a minimum problem with free boundary . J. Reine Angew. Math. 325 : 105 – 144 .[Web of Science ®] , [Google Scholar]], we study regularity and qualitative properties of local and global minimizers of a functional with a variable domain of integration related to water waves.