Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T08:26:08.405Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-linear mixed boundary value problems for elliptic partial differential equations

Published online by Cambridge University Press:  14 November 2011

Joëlle Bailet-Intissar
Joëlle Bailet-Intissar
Affiliation:
Départment de Mathématiques, Université Mohammed V, Rabat, Morocco
Get access Rights & Permissions [Opens in a new window]

Synopsis

A sufficient condition on the angles of a bounded open subset of ℝn is given, ensuring the best regularity of solutions of a class of elliptic problems with non-linear mixed boundary conditions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 347 - 359
Copyright
Copyright © Royal Society of Edinburgh 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Bailet-Intissar, J.. Problèmes aux limites nonlinéaires avec conditions mêlées. C.R. Acad. Sci. Paris Sér. A–B 287 (1978), A1061–A1063.Google Scholar
2Brezis, H.. Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Contributions to nonlinear functional analysis (Proc. Sympos., Math. Res. Center Univ. Wisconsin, Madison, Wisc., 1971), pp. 101–156 (New York: Academic Press, 1971).CrossRefGoogle Scholar
3Duvaut, G. and Lions, J. L.. Sur de nouveaux problèmes d'inéquations variationnelles posés par la mécanique. Le cas stationnaire. C.R. Acad. Sci. Paris Ser. A–B 269 (1969), A510–A513.Google Scholar
4Duvaut, G. and Lions, J. L.. Nouvelles inéquations variationnelles rencontrees en thermique et en thermoélasticité. C.R. Acad. Sci. Paris Ser. A–B 269 (1969), A1198–A1201.Google Scholar
5Fichera, G.. Problemi elastostatici con vincoli unilaterali: Il problema di Signorini con ambigue condizioni al contorno. Atti Acad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. I 7 (1963/1964), 91–140.Google Scholar
6Grisvard, P.. Caractérisation de quelques espaces d'interpolation. Arch. Rational Mech. Anal. 25 (1967), 40–43.CrossRefGoogle Scholar
7Grisvard, P.. Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain. Numerical solution of partial differential equation, III (Proc. Third Sympos. (SYNSPADE), Univ. Maryland, College Park, Md., 1975), pp. 207–274 (New York: Academic Press, 1976).CrossRefGoogle Scholar
8Grisvard, P. and Iooss, G.. Problèmes aux limites unilatéraux dans des domaines non réguliers. Publications mathématiques de l'Université de Rennes (1977).CrossRefGoogle Scholar
9Kawohl, B.. On nonlinear mixed boundary value problems for second order elliptic differential equations on domains with corners. Preprint No. 489 (1979). Technische Hochschule Darmstadt.Google Scholar
10Ladyzhenskaya, O. A. and Ural'ceva, N. N.. Equations aux derivées partielles de type elliptique (Paris: Dunod, 1968).Google Scholar
11Lions, J. L.. Sur quelques nouveaux exemples de problèmes unilatéraux. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 17 (1970), 1–9.Google Scholar