Existence, Regularity, and Boundary Behaviour of Generalized Surfaces of Prescribed Mean Curvature.

作者: Claus Gerhardt

DOI: 10.1007/BF01418314

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参考文章(52)
Enrico Giusti, Superfici cartesiane di area minima Rendiconti del Seminario Matematico e Fisico di Milano. ,vol. 40, pp. 135- 153 ,(1970) , 10.1007/BF02923230
Ettore Santi, Sul problema al contorno per l’equazione delle superfici di area minima su domini limitati qualunque Annali Dell'universita' Di Ferrara. ,vol. 17, pp. 13- 26 ,(1972) , 10.1007/BF02826875
E. Bombieri, Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions Mimeographed Notes of Lectures, Courant Inst., New York Univ., 1970. ,(1970)
M. Miranda, Frontiere minimali con ostacoli Annali Dell'universita' Di Ferrara. ,vol. 16, pp. 29- 37 ,(1971) , 10.1007/BF02825195
Herbert Federer, Geometric Measure Theory ,(1969)
Erhard Heinz, Interior gradient estimates for surface $z=f(x,\,y)$ with prescribed mean curvature Journal of Differential Geometry. ,vol. 5, pp. 149- 157 ,(1971) , 10.4310/JDG/1214429784
Guido Stampacchia, Équations elliptiques du second ordre à coefficients discontinus Séminaire Jean Leray. pp. 1- 77 ,(1964)
James Serrin, Howard Jenkins, The Dirichlet problem for the minimal surface equation in higher dimensions. Crelle's Journal. ,vol. 229, pp. 170- 187 ,(1968)
Claus Gerhardt, Regularity of solutions of nonlinear variational inequalities Archive for Rational Mechanics and Analysis. ,vol. 52, pp. 389- 393 ,(1973) , 10.1007/BF00247471
Hans Lewy, Guido Stampacchia, On the regularity of the solution of a variational inequality Communications on Pure and Applied Mathematics. ,vol. 22, pp. 153- 188 ,(1969) , 10.1002/CPA.3160220203