WIAS Preprint No. 1576, (2010)

The classical solvability of the contact angle problem for generalized equations of mean curvature type



Authors

  • Druet, Pierre-Étienne
    ORCID: 0000-0001-5303-0500

2010 Mathematics Subject Classification

  • 35J93, 35B65, 58J99

Keywords

  • Generalized mean curvature equation, contact angle problem, classical solvability

Abstract

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.

Appeared in

  • Port. Math., 69 (2012) pp. 233--258.

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