Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions
We obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in...
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204307039 |
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doaj-2476a1951e004cec9957c120ffa919dc2020-11-24T22:01:19ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041891394810.1155/S0161171204307039Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditionsFei-Tsen Liang0Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, TaiwanWe obtain global estimates for the modulus, interior gradient estimates, and boundary Hölder continuity estimates for solutions u to the capillarity problem and to the Dirichlet problem for the mean curvature equation merely in terms of the mean curvature, together with the boundary contact angle in the capillarity problem and the boundary values in the Dirichlet problem.http://dx.doi.org/10.1155/S0161171204307039 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fei-Tsen Liang |
| spellingShingle |
Fei-Tsen Liang Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Fei-Tsen Liang |
| author_sort |
Fei-Tsen Liang |
| title |
Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| title_short |
Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| title_full |
Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| title_fullStr |
Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| title_full_unstemmed |
Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| title_sort |
global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2004-01-01 |
| description |
We obtain global estimates for the modulus, interior gradient
estimates, and boundary Hölder continuity estimates for
solutions u to the capillarity problem and to the Dirichlet
problem for the mean curvature equation merely in terms of the
mean curvature, together with the boundary contact angle in the
capillarity problem and the boundary values in the Dirichlet
problem. |
| url |
http://dx.doi.org/10.1155/S0161171204307039 |
| work_keys_str_mv |
AT feitsenliang globalboundednessinteriorgradientestimatesandboundaryregularityforthemeancurvatureequationwithboundaryconditions |
| _version_ |
1725840250335395840 |