Remote Access Bulletin of the American Mathematical Society

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
MathSciNet review: 0214916
Full-text PDF Free Access

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 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
  • Philip Hartman and Guido Stampacchia, On some non-linear elliptic differential-functional equations, Acta Math. 115 (1966), 271–310. MR 206537, DOI
  • 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
  • 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 222467, DOI
  • 5. O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and quasilinear elliptic equations, Izd. Nauka, Moscow (1964). (Russian)
  • Zane C. Motteler, Existence theorems for certain quasi-linear elliptic equations, Pacific J. Math. 17 (1966), 279–299. MR 206477
  • Guido Stampacchia, On some regular multiple integral problems in the calculus of variations, Comm. Pure Appl. Math. 16 (1963), 383–421. MR 155209, DOI
  • 8. N. S. Trudinger, Quasilinear elliptic partial differential equations in n variables, Doctoral Dissertation, Stanford University, Department of Mathematics, July, 1966.

Additional Information