The classical solvability of the contact angle problem for generalized equations of mean curvature type
- Druet, Pierre-Étienne
2010 Mathematics Subject Classification
- 35J93, 35B65, 58J99
- Generalized mean curvature equation, contact angle problem, classical solvability
In this paper, mean curvature type equations with general potentials and contact angle boundary conditions are considered. We extend the ideas of Ural'tseva, formulating sharper hypotheses for the existence of a classical solution. Corner stone for these results is a method to estimate quantities on the boundary of the free surface. We moreover provide alternative proofs for the higher-order estimates, and for the existence result.
- Port. Math., 69 (2012) pp. 233--258.