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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

The Dirichlet problem for nonuniformly elliptic equations

Author(s): Neil S. Trudinger
Journal: Bull. Amer. Math. Soc. 73 (1967), 410-413.
MathSciNet review: 0214916
Retrieve article in: PDF

References | Additional information

References:

1.
D. Gilbarg, Boundary value problems for non-linear elliptic equations in n variables, Nonlinear problems, Univ. of Wisconsin Press, Madison, Wis., 1963, pp. 151-160. MR 146506
2.
P. Hartman and G. Stampacchia, On some nonlinear elliptic differential functional equations, Acta Math. 115 (1966), 271-310. MR 206537
3.
P. Hartman, On quasilinear elliptic functional differential equations, Proceedings of the International Symposium on Differential Equations and Dynamical Systems, Puerto Rico, December 1965 (to appear). MR 221072
4.
H. Jenkins and J. Serrin, The Dirichlet problem for the minimal surface equation in higher dimensions, J. Reine Angew. Math, (to appear). MR 222467
5.
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and quasilinear elliptic equations, Izd. Nauka, Moscow (1964). (Russian)
6.
Z. C. Mottler, Existence theorems for certain quasilinear elliptic equations, Pacific J. Math. 17 (1966), 279-299. MR 206477
7.
G. Stampacchia, On some multiple integral problems in the calculus of variations, Comm. Pure Appl. Math 16 (1963), 382-422. MR 155209
8.
N. S. Trudinger, Quasilinear elliptic partial differential equations in n variables, Doctoral Dissertation, Stanford University, Department of Mathematics, July, 1966.


Additional Information:

DOI: 10.1090/S0002-9904-1967-11771-3
PII: S 0002-9904(1967)11771-3




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