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A stability theorem for the obstacle problem. (English) Zbl 0317.49013


MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
93D99 Stability of control systems
49Q20 Variational problems in a geometric measure-theoretic setting
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References:

[1] Lewy, H.; Stampacchia, G., On the regularity of the solution of a variational inequality, Comm. Pure App. Math., 22, 153-188 (1969) · Zbl 0167.11501
[2] Moser, J., A new technique for the construction of solutions of non-linear differential equations, (Proc. Nat. Acad. Sci., 47 (1961)), 1824-1831 · Zbl 0104.30503
[3] Nash, J., The embedding problem for Riemannian manifolds, Ann. Math., 63, 20-63 (1956) · Zbl 0070.38603
[4] D. SchaefferArch. Rat. Meth. Anal.; D. SchaefferArch. Rat. Meth. Anal.
[5] D. SchaefferIndiana J. Math; D. SchaefferIndiana J. Math · Zbl 0283.35068
[6] Sergeraert, F., Une généralisation du théorème des fonctions implicites de Nash, C. R. Acad. Sci. Paris Ser. A, 270, 861-863 (1970) · Zbl 0202.14502
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