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The Neumann problem on Lipschitz domains
Author(s):
David S.
Jerison;
Carlos E.
Kenig
Journal:
Bull. Amer. Math. Soc.
4
(1981),
203-207.
MSC (1980):
Primary 35J25, 31B20;
Secondary 26B20
MathSciNet review:
598688
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Additional information
References:
- 1.
- A. P. Calderón, C. P. Calderón, E. Fabes, M. Jodeit, and N. M. Rivière, Applications of the Cauchy integral on Lipschitz curves, Bull. Amer. Math. Soc. 84 (1978), 287-290. MR 460656
- 2.
- B. E. J. Dahlberg, Estimates of harmonic measure, Arch. Rat. Mech. Anal. 65 (1977), 275-288. MR 466593
- 3.
- B. E. J. Dahlberg, Weighted norm inequalities for the Lusin area integral and the non-tangential maximal functions for functions harmonic in a Lipschitz domain, Studia Math. (to appear). MR 592391
- 4.
- D. S. Jerison and C. E. Kenig, An identity with applications to harmonic measure, Bull. Amer. Math. Soc. (N. S.) 2 (1980), 447-451. MR 561530
- 5.
- D. S. Jerison and C. E. Kenig, The Dirichlet problem in non-smooth domains, Ann. of Math. (to appear).
- 6.
- L. E. Payne and H. F. Weinberger, New bounds in harmonic and biharmonic problems, J. Math. Phys. 33 (1954), 291-307. MR 68683
- 7.
- F. Rellich, Darstellung der Eigenwerte von Δu + λu durch ein Randintegral, Math. Z. 46 (1940), 635-646. MR 2456
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Additional Information:
DOI:
10.1090/S0273-0979-1981-14884-9
PII:
S 0273-0979(1981)14884-9
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