@article{AIHPC_1997__14_6_719_0, author = {Liang, Jin}, title = {Regularity of solutions for arbitrary order variational inequalities with general convex sets}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {719--758}, publisher = {Gauthier-Villars}, volume = {14}, number = {6}, year = {1997}, mrnumber = {1482900}, zbl = {0911.49023}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1997__14_6_719_0/} }
TY - JOUR AU - Liang, Jin TI - Regularity of solutions for arbitrary order variational inequalities with general convex sets JO - Annales de l'I.H.P. Analyse non linéaire PY - 1997 SP - 719 EP - 758 VL - 14 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1997__14_6_719_0/ LA - en ID - AIHPC_1997__14_6_719_0 ER -
%0 Journal Article %A Liang, Jin %T Regularity of solutions for arbitrary order variational inequalities with general convex sets %J Annales de l'I.H.P. Analyse non linéaire %D 1997 %P 719-758 %V 14 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1997__14_6_719_0/ %G en %F AIHPC_1997__14_6_719_0
Liang, Jin. Regularity of solutions for arbitrary order variational inequalities with general convex sets. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 6, pp. 719-758. http://archive.numdam.org/item/AIHPC_1997__14_6_719_0/
[1] Sobolev Spaces, Academic Press, 1975. | MR | Zbl
,[2] Bessel Potentials, Inclusion Relations among Classes of Exceptional Sets, Indiana Univ. Math. J., Vol. 22, 1973, pp. 873-905. | MR | Zbl
and ,[3] Variational Convergence for Functions and Operators, Pitman Publishing, 1984. | MR | Zbl
,[4] Variational Inequalities of Order 2m in Unbounded Domains, Nonlinear Anal., Th. Meth. and Appl., Vol. 6, 1982, pp. 253-269. | MR | Zbl
,[5] H2,p-Regularity for the Solution of Systems of Elliptic Variational Inequalities, Riv. Mat. Univ. Parma, Vol. 8, (4), 1982, pp. 539-547. | MR | Zbl
,[6] An Ls-Estimate for the Gradient of Solutions of Some Nonlinear Unilateral Problems, Annali Mat. Pura ed Appl., Vol. 141, 1985, pp. 277-287. | MR | Zbl
,[7] Multiplicateur de Lagrange en Torsion Elasto-Plastique, Arch. Rat. Mech. Analysis, Vol. 49, 1972, pp. 32-40. | MR | Zbl
,[8] The Free Boundary for Fourth Order Variational Inequality, Illinois J. of Math., Vol. 25, 1981, pp. 402-422. | MR | Zbl
, and ,[9] Nonlinear Partial Differential Equations and Free Boundaries (Volume I), Elliptic Equations, Research Notes in Mathematics, Vol. 106, Pitman Advanced Publishing Program, 1985. | MR | Zbl
,[10] Variational Principles and Free Boundary Problems, Wiley-Interscience, 1982. | MR | Zbl
,[11] The Lp-integrability of the Partial Derivatives of a Quasiconformal Mapping, Acta Math., Vol. 130, 1973, pp. 265-277. | MR | Zbl
,[12] On the Capillarity Problem with Constant Volume, Ann. Sc. Norm. Sup. Pisa, Vol. 2, 1975, pp. 303-320. | Numdam | MR | Zbl
,[13] Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, 1983. | MR | Zbl
,[14] Regularity Results for Some Classes of Higher Order Nonlinear Elliptic Systems, J. Reine Angew. Math., Vol. 311/312, 1979, pp. 145-169. | MR | Zbl
and ,[15] Variational Inequalities for Vectorvalued Functions, J. Reine. Ange. Math., Vol. 309, 1979, pp. 191-219. | MR | Zbl
and ,[16] Regularity for Elasto-Plastic Type Variational Inequalities, Indiana Univ. Math. J., Vol. 32, 1983, pp. 407-423. | MR | Zbl
,[17] Regularity of Elliptic Systems by Blow - up method, Bollettino U.M.I., Vol. 6, 5-A, 1986, pp. 443-448. | MR | Zbl
,[18] Convergence of a Sequence of Closed Convex Sets with Parameters and Some Concrete Cases of Structures, to appear.
,[19] On a Kind of Nonlinear High Order Variational Inequality System, Differential and Integral Equations, Vol. 6, 1993, pp. 1519-1530. | MR | Zbl
and ,[20] Convergence in Mosco Sense for Sequences of Some General Concrete Convex Sets, preprint.
and ,[21] Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Paris, 1969. | MR | Zbl
,[22] Sobolev Spaces, Springer-Verlag, 1985. | MR
,[23] Some Results on Regularity for Solutions of Non-linear Elliptic Systems and Quasi-Regular Functions, Duke Math. J., Vol. 42, 1975, pp. 121-136. | MR | Zbl
and ,[24] Approximations of the Solutions of Some Variational Inequalities, Ann. Sc. Norm. Sup. Pisa, Vol. 21, 1967, pp. 373-394. | Numdam | MR | Zbl
,[25] Convergence of Convex Sets and of Solutions of Quasi-Variational Inequalities, Adv. Math., Vol. 3, 1969, pp. 510-585. | MR | Zbl
,[26] An Extended Interpolation Inequality, Ann. Sc. Norm. Sup. Pisa, Vol. 20, 1966, pp. 733-737. | Numdam | MR | Zbl
,[27] Obstacle Problems in Mathematical Physics, Elsevier Science Publishers B.V., 1987. | MR | Zbl
,[28] Functional Analysis, Springer-Verlag, 1965. | Zbl
,