Convergence of unilateral convex sets in higher order Sobolev spaces

 Access to full text

 Full (PDF)

1. [1] Adams ( D.R.) . — Sets and functions of finite Lp-capacity, Indiana Univ. Math. J.27 (1978) pp. 283-291. Zbl0384.31004MR486575
2. [2] Adams ( D.R.) .— Lp-capacitary integrals with some applications, Proc. Symposia in Pure Math., vol. XXXV, Part I (1979) pp. 359-367. Zbl0418.31006MR545276
3. [3] Attouch ( H.) .- Variational convergence for functions and operators, Pitman, London (1984). Zbl0561.49012MR773850
4. [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. Zbl0418.49012MR554374
5. [5] Attouch ( H.) and Picard ( C.) .— Inéquations variationnelles avec obstacles et espaces fonctionnels en théorie du potentiel, Applicable Analysis12 (1981) pp. 287-306. Zbl0479.49008MR653202
6. [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). Zbl0484.49009MR652507
7. [7] Choquet ( G.) .— Lectures on analysis, vol. I, Mathematics Lecture Note Series, Benjamin, Inc. (1969). Zbl0181.39601
8. [8] Dal Maso ( G.) . — On the integral representation of certain local functionals, Ricerche Mat.32 (1983) pp. 85-113. Zbl0543.49001MR740203
9. [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. Zbl0582.49008MR791845
10. [10] Dal Maso ( G.) .- And Introduction to Γ-convergence, Corso S.I.S.S.A.1986/87, Trieste. 
11. [11] Dal Maso ( G.) .— r-convergence and μ-capacities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 14 (1987) pp. 423-464. Zbl0657.49005MR951228
12. [12] Dal Maso ( G.) and Defranceschi ( A.) .— Limits of nonlinear Dirichlet problems in varying domains, Manuscripta Math.61 (1988) pp. 251-278. Zbl0653.49017MR949817
13. [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). Zbl0493.49005MR671757
14. [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. Zbl0674.49006MR1008345
15. [15] De Giorgi ( E.) and Franzoni ( T.) .— Su un tipo di convergenza variazionale, Rend. Sem. Mat. Brescia3 (1979) pp. 63-101. 
16. [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. Zbl0405.28008MR466479
17. [17] Fuglede ( B.) .— The quasi topology associated with a countably subadditive set function, Ann. Inst. Fourier (Grenoble)21 (1971) pp. 123-169. Zbl0197.19401MR283158
18. [18] Hedberg ( L.I.) .— Spectral synthesis in Sobolev spaces and uniqueness of the Dirichlet problem, Acta Math.147 (1981) pp. 237-264. Zbl0504.35018MR639040
19. [19] Hedberg ( L.I.) and Wolff ( T.H.) .— Thin sets in nonlinear potential theory, Ann. Inst. Fourier (Grenoble)33 (1983) pp. 161-188. Zbl0508.31008MR727526
20. [20] MAZ'YA ( V.G.) and Khavin ( V.P.) .— Nonlinear potential theory, Russian Math. Surveys27 (1972) pp. 71-148. Zbl0269.31004
21. [21] Meyers ( N.G.) - A theory of capacities for potentials of functions in Lebesgue classes, Math. Scand.26 (1970) pp. 255-292. Zbl0242.31006MR277741
22. [22] Mosco ( U.) .— Convergence of convex sets and of solutions of variational inequalities, Adv. in Math.3 (1969) pp. 510-585. Zbl0192.49101MR298508
23. [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). Zbl0266.49005
24. [24] Picard ( C.) .— Problème biharmonique avec obstacles variables, Thèse, Univ. Paris-Sud (1984) 
25. [25] Sonntag ( Y.) . — Convergence au sens de U. Mosco, Thèse, Univ. de Provence, Marseille (1980). 
26. [26] Stein ( E.M.) .— Singular integrals and differentiability properties of functions, Princeton University Press, Princeton, New Jersey (1970). Zbl0207.13501MR290095