The Neumann problem on Lipschitz domains
Authors:
David S. Jerison and Carlos E. Kenig
Journal:
Bull. Amer. Math. Soc. 4 (1981), 203-207
MSC (1980):
Primary 35J25, 31B20; Secondary 26B20
DOI:
https://doi.org/10.1090/S0273-0979-1981-14884-9
MathSciNet review:
598688
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References | Similar Articles | Additional Information
- 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. Björn E. J. Dahlberg, Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain, Studia Math. 67 (1980), no. 3, 297–314. MR 592391, https://doi.org/10.4064/sm-67-3-297-314
- 4. David S. Jerison and Carlos E. Kenig, An identity with applications to harmonic measure, Bull. Amer. Math. Soc. (N.S.) 2 (1980), no. 3, 447–451. MR 561530, https://doi.org/10.1090/S0273-0979-1980-14762-X
- 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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DOI:
https://doi.org/10.1090/S0273-0979-1981-14884-9
