|
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
MathSciNet review:
598688
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
A.
P. Calderón, 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 0460656
(57 #649), http://dx.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 0466593
(57 #6470)
- 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
(82f:31003)
- 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
(81f:31009), http://dx.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 0068683
(16,923g)
- 7.
Franz
Rellich, Darstellung der Eigenwerte von
Δ𝑢+𝜆𝑢=0 durch ein Randintegral, Math. Z.
46 (1940), 635–636 (German). MR 0002456
(2,56d)
- 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
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1980):
35J25,
31B20,
26B20
Retrieve articles in all journals
with MSC (1980):
35J25,
31B20,
26B20
Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1981-14884-9
PII:
S 0273-0979(1981)14884-9
|
