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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Generalized solutions of quasilinear differential inequalities. I. Elliptic operators


Author: Neil S. Trudinger
Journal: Bull. Amer. Math. Soc. 77 (1971), 576-579
MSC (1970): Primary 35B45, 35D10, 35J15, 35J60; Secondary 34J70
MathSciNet review: 0277887
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  • 9. Guido Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), no. fasc. 1, 189–258 (French). MR 0192177 (33 #404)
  • 10. Neil S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721–747. MR 0226198 (37 #1788)
  • 11. Neil S. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968), 205–226. MR 0226168 (37 #1758)
  • 12. Neil S. Trudinger, On the regularity of generalized solutions of linear, non-uniformly elliptic equations, Arch. Rational Mech. Anal. 42 (1971), 50–62. MR 0344656 (49 #9395)
  • 13. N. S. Trudinger, Continuity of weak solutions of quasilinear equations, Indiana Univ. Math. J. (to appear).
  • 14. N. S. Trudinger, Local and global behaviour of generalized solutions of quasilinear, differential inequalities (in preparation).

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1971-12759-3
PII: S 0002-9904(1971)12759-3