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A gradient estimate at the boundary for solutions of quasilinear elliptic equations
Author(s):
Ronald
Gariepy;
William P.
Ziemer
Journal:
Bull. Amer. Math. Soc.
82
(1976),
629-631.
MSC (1970):
Primary 35D10, 35B45;
Secondary 35J25, 35J60, 35J67
MathSciNet review:
0419979
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Additional information
References:
- [LSW] W. Littman, G. Stampacchia and H. F. Weinberger, Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa (3) 17 (1963), 43-77. MR 28 #4228. MR 161019
- [LU] O. A. Ladyženskaja and N. N. Ural'ceva, Linear and quasilinear elliptic equations, "Nauka", Moscow, 1964; English transl., Academic Press, New York, 1968. MR 35 #1955; 39 #5941.[Note] MR 244627
- [M] V. G. Maz'ja, On the continuity at a boundary point of the solutions of quasilinear elliptic equations, Vestnik Leningrad. Univ. 25 (1970), no. 13, 42-55. (Russian) MR 43 #706. MR 274948
- [ME] N. Meyers, Continuity property of potentials, Duke Math. J. 42 (1975), 157-166. MR 367235
- [ST] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15 (1965), fasc. 1, 189-258. MR 33 #404. MR 192177
- [S ] J. B. Serrin, Jr., Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247-302. MR 30 #337. MR 170096
- [T] N. S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721-747. MR 37 #1788. MR 226198
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14146-8
PII:
S 0002-9904(1976)14146-8
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