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
Full-text PDF Free Access
References | Similar Articles | Additional Information
- 1. A. P. Calderon, C. P. Calderon, E. Fabes, M. Jodeit, and N. M. Rivière, Applications of the Cauchy integral on Lipschitz curves, Bull. Amer. Math. Soc. 84 (1978), no. 2, 287–290. MR 460656, https://doi.org/10.1090/S0002-9904-1978-14478-4
- 2. Björn E. J. Dahlberg, Estimates of harmonic measure, Arch. Rational Mech. Anal. 65 (1977), no. 3, 275–288. MR 466593, https://doi.org/10.1007/BF00280445
- 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. and Phys. 33 (1955), 291–307. MR 68683, https://doi.org/10.1002/sapm1954331291
- 7. Franz Rellich, Darstellung der Eigenwerte von Δ𝑢+𝜆𝑢=0 durch ein Randintegral, Math. Z. 46 (1940), 635–636 (German). MR 2456, https://doi.org/10.1007/BF01181459
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Additional Information
DOI:
https://doi.org/10.1090/S0273-0979-1981-14884-9