@article{ASNSP_1995_4_22_1_25_0, author = {Choe, Hi Jun and Shim, Yong Sun}, title = {Degenerate variational inequalities with gradient constraints}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {25--53}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 22}, number = {1}, year = {1995}, mrnumber = {1315349}, zbl = {0830.49005}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1995_4_22_1_25_0/} }
TY - JOUR AU - Choe, Hi Jun AU - Shim, Yong Sun TI - Degenerate variational inequalities with gradient constraints JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1995 SP - 25 EP - 53 VL - 22 IS - 1 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1995_4_22_1_25_0/ LA - en ID - ASNSP_1995_4_22_1_25_0 ER -
%0 Journal Article %A Choe, Hi Jun %A Shim, Yong Sun %T Degenerate variational inequalities with gradient constraints %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1995 %P 25-53 %V 22 %N 1 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1995_4_22_1_25_0/ %G en %F ASNSP_1995_4_22_1_25_0
Choe, Hi Jun; Shim, Yong Sun. Degenerate variational inequalities with gradient constraints. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 22 (1995) no. 1, pp. 25-53. http://www.numdam.org/item/ASNSP_1995_4_22_1_25_0/
[Br1] The Smoothness of Solutions to Nonlinear Variational Inequalities. Indiana Univ. Math. J. 23 (1974), 831-844. | MR | Zbl
- ,[Br2] Sur la regularite de la solution d'inequations elliptiques. Bull. Soc. Math. France 96 (1968), 153-180. | Numdam | MR | Zbl
- ,[Caf] The Lipschitz Character of the Stress Tensor When Twisting an Elastic and Plastic Bar. Arch. Rational Mech. Anal. 69 (1979), 31-36. | MR | Zbl
- ,[Can] On the Singularities of the Viscosity Solutions to Hamilton-Jacobi-Bellman Equations. Indiana Univ. Math. J. 36 (1987), 501-524. | MR | Zbl
- ,[Ch1] A regularity theory for a more general class of quasilinear elliptic partial differential equations and obstacle problems. Arch. Rational Mech. Anal. 114 (1991), 383-394. | MR | Zbl
,[Ch2] On the variational inequalities for certain convex function classes. To appear in J. Differential Equations. | MR | Zbl
- ,[Chi] Variational Inequalities and Flow in Porous Media. Applied Mathematical Sciences, 52, Springer, Berlin 1984. | MR | Zbl
,[DiB] C1,α local regularity of weak solutions of degenerate elliptic equations. Nonlinear Anal. 7 (1983), 827-850. | Zbl
,[Eva] A Second Order Elliptic Equation with Gradient Constraint. Comm. Partial Differential Equations 4 (1979), 555-572. | MR | Zbl
,[Fle] Asymptotic series and the method of vanishing viscosity. Indiana Univ. Math. J. 35 (1986), 425-447. | MR | Zbl
- ,[Ge1] Regularity of Solutions of Nonlinear Variational Inequalities with a Gradient Bound as Constraint. Arch. Rational Mech. Anal. 58 (1975), 309-317. | MR | Zbl
,[Ge2] Regularity of Solutions of Nonlinear Variational Inequalities. Arch. Rational Mech. Anal. 52 (1973), 389-393. | MR | Zbl
,[Gia] Remarks on the regularity of weak solutions to some variational inequalities. Math. Z. 177 (1981), 15-31. | EuDML | MR | Zbl
,[GT] Elliptic Partial Differential Equations of Second Order, 2nd edition. Springer-Verlag, Berlin 1983. | MR | Zbl
- ,[Har] On some nonlinear elliptic differential functional equations. Acta Math. 115 (1971), 271-310. | MR | Zbl
- ,[IK] Boundary regularity and uniqueness for an elliptic equation with gradient constraint. Comm. Partial Differential Equations 8 (1983), 317-346. | MR | Zbl
- ,[Is1] Perron's method for Hamilton-Jacobi equations. Preprint. | MR | Zbl
,[Is2] A simple, direct proof of uniqueness for solutions of the Hamilton-Jacobi equations of Eikonal type. Proc. Amer. Math. Soc. 100 (1987), 247-251. | MR | Zbl
,[Jen] Regularity for Elasto-Plastic Type Variational Inequality. Indiana Univ. Math. J. 32 (1983), 407-423. | MR | Zbl
,[Kry] Boundedly inhomogeneous elliptic and parabolic equations in a domain. (Russian). Izv. Akad. Nauk SSSR 147 (1983), 75-108. | MR | Zbl
,[Lad] Linear and Quasilinear Elliptic Equations. Academic Press, 1968. | MR | Zbl
- ,[Lew] Regularity of derivatives of solutions to certain degenerate elliptic equations. Indiana Univ. Math. J. 32 (1983), 849-858. | MR | Zbl
,[Li1] Local and boundary regularity for some variational inequalities involving p-Laplacian-type operators. Preprint.
,[Li2] The natural generalization of the natural conditions of Ladyzhenskaya and Ural'tzeva for elliptic equations, Comm. Partial Differential Equations 16 (1991), 311-362. | MR | Zbl
,[Li3] Regularity of solutions to some degenerate double obstacle problems. Preprint. | MR | Zbl
,[Lin] Boundary C1,α regularity for variational inequalities. Comm. Pure Appl. Math. XLIV (1991), 715-732. | MR | Zbl
- ,[Lind] Regularity for the gradient of the solution to a nonlinear obstacle problem with degenerate ellipticity, Nonlinear Anal. 12 (1988), 1245-1255. | MR
,[Lio1] Generalized solutions of Hamilton-Jacobi equations. Research Notes in Mathematics, vol. 69, Pitman Advanced Publishing Program, 1982. | MR | Zbl
,[Lio2] Resolution de Problèmes Elliptiques Quasilinéaires. Arch. Rational Mech. Anal. 74 (1980), 335-353. | MR | Zbl
,[Mic] Interior regularity for solutions to obstacle problems, Nonlinear Anal. 10 (1986), 1427-1448. | MR | Zbl
- ,[Mu1] Higher regularity of the solution to the p-Laplacian obstacle problem. Preprint. | MR | Zbl
,[Mu2] Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations. Preprint. | MR | Zbl
- ,[Nor] C1,α local regularity for a class of quasilinear elliptic variational inequalities. Boll. Un. Mat. Ital. 5 (1986), 281-291. | MR | Zbl
,[To1] Regularity for a more general class of quasi-linear elliptic equations. J. Differential Equations 51 (1984), 126-150. | MR | Zbl
,[To2] Everywhere regularity for some quasilinear systems with a lack of ellipticity. Ann. Mat. Pura Appl. 134 (1983), 241-266. | MR | Zbl
,[Uhl] Regularity for a class of nonlinear elliptic systems, Acta Math. 138 (1977), 219-240. | MR | Zbl
,[Wi] The C1,1 -character of solutions of second order elliptic equations with gradient constraints. Comm. Partial Differential Equations 6 (1981), 361-371. | MR | Zbl
,