Weighted norm estimates for oblique derivative problems
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- by G. M. Troianiello
- Proc. Amer. Math. Soc. 123 (1995), 3655-3663
- DOI: https://doi.org/10.1090/S0002-9939-1995-1307569-1
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Abstract:
Estimates of the Caccioppoli-Schauder type are proven for a class of regular oblique derivative problems in Hölder function spaces with weights. Previous restrictions on the range of admissible weights are showed to be unnecessary.References
- David Gilbarg and Lars Hörmander, Intermediate Schauder estimates, Arch. Rational Mech. Anal. 74 (1980), no. 4, 297–318. MR 588031, DOI 10.1007/BF00249677
- Gary M. Lieberman, Intermediate Schauder estimates for oblique derivative problems, Arch. Rational Mech. Anal. 93 (1986), no. 2, 129–134. MR 823115, DOI 10.1007/BF00279956
- Gary M. Lieberman, Oblique derivative problems in Lipschitz domains. I. Continuous boundary data, Boll. Un. Mat. Ital. B (7) 1 (1987), no. 4, 1185–1210 (English, with Italian summary). MR 923448
- Jill Pipher, Oblique derivative problems for the Laplacian in Lipschitz domains, Rev. Mat. Iberoamericana 3 (1987), no. 3-4, 455–472. MR 996827, DOI 10.4171/RMI/59
- Giovanni Maria Troianiello, Elliptic differential equations and obstacle problems, The University Series in Mathematics, Plenum Press, New York, 1987. MR 1094820, DOI 10.1007/978-1-4899-3614-1
- Giovanni Maria Troianiello, Estimates of the Caccioppoli-Schauder type in weighted function spaces, Trans. Amer. Math. Soc. 334 (1992), no. 2, 551–573. MR 1049865, DOI 10.1090/S0002-9947-1992-1049865-3
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3655-3663
- MSC: Primary 35J40; Secondary 35B45, 35D10
- DOI: https://doi.org/10.1090/S0002-9939-1995-1307569-1
- MathSciNet review: 1307569