Comparison of capillary surfaces heights in case of small gravity

Nonlinear Analysis, Theory, Methods and Applications

Volumn 43, Issue 7, 2001, Pages 937-942

  Kosmodem'Yanskii Jr , A A ^a  

^a RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CAPILLARY FLOW; GRAVITATIONAL EFFECTS; INTEGRAL EQUATIONS; THEOREM PROVING;

COMPARISON THEOREM;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0035284134     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00252-7     Document Type: Article

References (9)

1. W. Blaschke, Kreis and Kugel, Walter de Gruiter & Co, Berlin, 1956.
2. R. Finn, Equilibrium Capillary Surfaces, Springer, Berlin, 1986.
3. Giusti E. On the equation of surfaces of prescribed mean curvature: existence and uniqueness without boundary conditions. Invent. Math. 16:1978;111-137.
4. Kosmodem'yanskii A.A. A theorem on representation of the solution of the second boundary value problem. Soviet Math. Dokl. 43(2):1991;371-373.
5. Korevaar N. Maximum principle gradient estimates for the capillary problem. Commun. Partial Differential Equations. 13(1):1988;1-31.
6. O.A. Ladyzhenskaya, N.N. Ural'tseva, Linear and Quasilinear Equations of Elliptic Type, Nauka, Moscow, 1973.
7. Liberman G. Gradient estimates for capillary-type problems via the maximum principle. Commun. Partial Differential Equations. 13(1):1988;33-59.
8. N.N. Ural'tseva, Solvability of the capillary problem, Vestnik Leningrad. Univ. 19 (1973) 54-64. (Russian).
9. N.N. Ural'tseva, Solvability of the capillary problem II, Vestnik Leningrad. Univ. 1 (1975) 143-149. (Russian).