Convergence of unilateral convex sets in higher order Sobolev spaces
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 5, Volume 11 (1990) no. 3, p. 93-149
@article{AFST_1990_5_11_3_93_0,
     author = {Vitali, Enrico},
     title = {Convergence of unilateral convex sets in higher order Sobolev spaces},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     publisher = {Universit\'e Paul Sabatier},
     address = {Toulouse},
     volume = {Ser. 5, 11},
     number = {3},
     year = {1990},
     pages = {93-149},
     zbl = {0724.49008},
     mrnumber = {1191723},
     language = {en},
     url = {http://www.numdam.org/item/AFST_1990_5_11_3_93_0}
}
Vitali, Enrico. Convergence of unilateral convex sets in higher order Sobolev spaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 5, Volume 11 (1990) no. 3, pp. 93-149. http://www.numdam.org/item/AFST_1990_5_11_3_93_0/

[1] Adams (D.R.) . - Sets and functions of finite Lp-capacity, Indiana Univ. Math. J. 27 (1978) pp. 283-291. | MR 486575 | Zbl 0384.31004

[2] Adams (D.R.) .- Lp-capacitary integrals with some applications, Proc. Symposia in Pure Math., vol. XXXV, Part I (1979) pp. 359-367. | MR 545276 | Zbl 0418.31006

[3] Attouch (H.) .- Variational convergence for functions and operators, Pitman, London (1984). | MR 773850 | Zbl 0561.49012

[4] Attouch (H.) and Picard (C.) .- Problèmes variationnels et théorie du potentiel non linéaire, Ann. Fac. Sci. Toulouse Math. (5) 1 (1979) pp. 89-136. | Numdam | MR 554374 | Zbl 0418.49012

[5] Attouch (H.) and Picard (C.) .- Inéquations variationnelles avec obstacles et espaces fonctionnels en théorie du potentiel, Applicable Analysis 12 (1981) pp. 287-306. | MR 653202 | Zbl 0479.49008

[6] Boccardo (L.) and Murat (F.) .- Nouveaux résultats de convergence dans des problèmes unilatéraux, Nonlinear partial differential equations and their applications, Collège de France seminar, vol. II, pp. 64-85, Res. Notes in Math., Pitman, London (1982). | MR 652507 | Zbl 0484.49009

[7] Choquet (G.) .- Lectures on analysis, vol. I, Mathematics Lecture Note Series, Benjamin, Inc. (1969). | Zbl 0181.39601

[8] Dal Maso (G.) . - On the integral representation of certain local functionals, Ricerche Mat. 32 (1983) pp. 85-113. | MR 740203 | Zbl 0543.49001

[9] Dal Maso (G.). - Some necessary and sufficient conditions for the convergence of sequences of unilateral convex sets, J. Funct. Anal. 62 (1985) pp. 119-159. | MR 791845 | Zbl 0582.49008

[10] Dal Maso (G.) .- And Introduction to Γ-convergence, Corso S.I.S.S.A. 1986/87, Trieste.

[11] Dal Maso (G.) .- r-convergence and μ-capacities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987) pp. 423-464. | Numdam | MR 951228 | Zbl 0657.49005

[12] Dal Maso (G.) and Defranceschi (A.) .- Limits of nonlinear Dirichlet problems in varying domains, Manuscripta Math. 61 (1988) pp. 251-278. | MR 949817 | Zbl 0653.49017

[13] Dal Maso (G.) and Modica (L.) .- A general theory of variational functionals, Topics in functional analysis (1980-1981) pp. 149-221, Quaderni Scuola Norm. Sup. Pisa, (1981). | MR 671757 | Zbl 0493.49005

[14] Dal Maso (G.) and Paderni (G.) .- Variational inequalities for the biharmonic operator with variable obstacles, Ann. Mat. Pura Appl. (4) 153 (1988) pp. 203-227. | MR 1008345 | Zbl 0674.49006

[15] De Giorgi (E.) and Franzoni (T.) .- Su un tipo di convergenza variazionale, Rend. Sem. Mat. Brescia 3 (1979) pp. 63-101.

[16] De Giorgi (E.) and Letta (G.) . - Une notion générale de convergence faible pour des functions croissantes d'ensemble, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 4 (1977) pp. 61-99. | Numdam | MR 466479 | Zbl 0405.28008

[17] Fuglede (B.) .- The quasi topology associated with a countably subadditive set function, Ann. Inst. Fourier (Grenoble) 21 (1971) pp. 123-169. | Numdam | MR 283158 | Zbl 0197.19401

[18] Hedberg (L.I.) .- Spectral synthesis in Sobolev spaces and uniqueness of the Dirichlet problem, Acta Math. 147 (1981) pp. 237-264. | MR 639040 | Zbl 0504.35018

[19] Hedberg (L.I.) and Wolff (T.H.) .- Thin sets in nonlinear potential theory, Ann. Inst. Fourier (Grenoble) 33 (1983) pp. 161-188. | Numdam | MR 727526 | Zbl 0508.31008

[20] Maz'Ya (V.G.) and Khavin (V.P.) .- Nonlinear potential theory, Russian Math. Surveys 27 (1972) pp. 71-148. | Zbl 0269.31004

[21] Meyers (N.G.) - A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand. 26 (1970) pp. 255-292. | MR 277741 | Zbl 0242.31006

[22] Mosco (U.) .- Convergence of convex sets and of solutions of variational inequalities, Adv. in Math. 3 (1969) pp. 510-585. | MR 298508 | Zbl 0192.49101

[23] Mosco (U.) .- An introduction to the approximate solution of variational inequalities, Constructive aspects of functional analysis, Corso C.I.M.E. (1971), vol. II, pp. 499-685, Edizioni Cremonese, Roma (1973). | Zbl 0266.49005

[24] Picard (C.) .- Problème biharmonique avec obstacles variables, Thèse, Univ. Paris-Sud (1984)

[25] Sonntag (Y.) . - Convergence au sens de U. Mosco, Thèse, Univ. de Provence, Marseille (1980).

[26] Stein (E.M.) .- Singular integrals and differentiability properties of functions, Princeton University Press, Princeton, New Jersey (1970). | MR 290095 | Zbl 0207.13501