Wiener criterion for degenerate elliptic obstacle problem
- Volume: 83, Issue: 1, page 63-67
- ISSN: 0392-7881
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topBiroli, Marco, and Mosco, Umberto. "Wiener criterion for degenerate elliptic obstacle problem." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 83.1 (1989): 63-67. <http://eudml.org/doc/289209>.
@article{Biroli1989,
abstract = {We give a Wiener criterion for the continuity of an obstacle problem relative to an elliptic degenerate problem with a weight in the $A_\{2\}$ class.},
author = {Biroli, Marco, Mosco, Umberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Variational inequalities; Potential theory; Regularity of weak solutions},
language = {eng},
month = {12},
number = {1},
pages = {63-67},
publisher = {Accademia Nazionale dei Lincei},
title = {Wiener criterion for degenerate elliptic obstacle problem},
url = {http://eudml.org/doc/289209},
volume = {83},
year = {1989},
}
TY - JOUR
AU - Biroli, Marco
AU - Mosco, Umberto
TI - Wiener criterion for degenerate elliptic obstacle problem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 63
EP - 67
AB - We give a Wiener criterion for the continuity of an obstacle problem relative to an elliptic degenerate problem with a weight in the $A_{2}$ class.
LA - eng
KW - Variational inequalities; Potential theory; Regularity of weak solutions
UR - http://eudml.org/doc/289209
ER -
References
top- BIROLI, M. and MARCHI, S., 1986. Wiener estimates at boundary points for degenerate elliptic equations. Boll. U.M.I., 6, 5(B): 689-706; Correction, 1988, Boll. U.M.I., 2-B, 7: 713. Zbl0634.35034
- BIROLI, M. and MARCHI, S., 1989. Wiener estimates for degenerate elliptic equations II. Diff. Int. Eq., 2, 4: 511-523. Zbl0733.35045MR996757
- FABES, E., JERISON, D.S. and KENIG, C., 1982. The Wiener test for degenerate elliptic equations. Ann. Inst. Fourier, 3: 151-183. Zbl0488.35034MR688024
- FABES, E., KENIG, C. and SERAPIONI, R., 1982. The local regularity of solutions of degenerate elliptic equations. Comm. in PDE, 7, 1: 77-116. Zbl0498.35042MR643158DOI10.1080/03605308208820218
- FREHSE, J. and MOSCO, U., 1985. Wiener obstacles. In «Seminar on nonlinear partial differential equation», College de France, ed. by BREZIS H. and LIONS J.L., VI, Pitman. Zbl0583.35038
- LITTMAN, W., STAMPACCHIA, G. and WEINBERGER, H., 1963. Regular points for elliptc equations with discontinuous coefficients. Ann. Sc. Norm. Sup. Pisa, 17: 47-77. Zbl0116.30302MR161019
- MOSCO, U., 1987. Wiener criterion and potential estimates for the obstacle problem. Indiana Un. Math. J., 36: 455-494. Zbl0644.49005MR905606DOI10.1512/iumj.1987.36.36026
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