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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

The Dirichlet problem for nonuniformly elliptic equations


Author: Neil S. Trudinger
Journal: Bull. Amer. Math. Soc. 73 (1967), 410-413
DOI: https://doi.org/10.1090/S0002-9904-1967-11771-3
MathSciNet review: 0214916
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  • 1. David Gilbarg, Boundary value problems for nonlinear elliptic equations in 𝑛 variables, Nonlinear Problems (Proc. Sympos., Madison, Wis., 1962) Univ. of Wisconsin Press, Madison, Wis., 1963, pp. 151–159. MR 0146506
  • 2. Philip Hartman and Guido Stampacchia, On some non-linear elliptic differential-functional equations, Acta Math. 115 (1966), 271–310. MR 0206537, https://doi.org/10.1007/BF02392210
  • 3. Philip Hartman, On quasilinear elliptic functional-differential equations, Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965) Academic Press, New York, 1967, pp. 393–407. MR 0221072
  • 4. Howard Jenkins and James Serrin, The Dirichlet problem for the minimal surface equation in higher dimensions, J. Reine Angew. Math. 229 (1968), 170–187. MR 0222467, https://doi.org/10.1515/crll.1968.229.170
  • 5. O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and quasilinear elliptic equations, Izd. Nauka, Moscow (1964). (Russian)
  • 6. Zane C. Motteler, Existence theorems for certain quasi-linear elliptic equations, Pacific J. Math. 17 (1966), 279–299. MR 0206477
  • 7. Guido Stampacchia, On some regular multiple integral problems in the calculus of variations, Comm. Pure Appl. Math. 16 (1963), 383–421. MR 0155209, https://doi.org/10.1002/cpa.3160160403
  • 8. N. S. Trudinger, Quasilinear elliptic partial differential equations in n variables, Doctoral Dissertation, Stanford University, Department of Mathematics, July, 1966.


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1967-11771-3