{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T22:36:30Z","timestamp":1774478190534,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2005,5,1]],"date-time":"2005-05-01T00:00:00Z","timestamp":1114905600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Calc. Var."],"published-print":{"date-parts":[[2005,5]]},"DOI":"10.1007\/s00526-004-0288-3","type":"journal-article","created":{"date-parts":[[2004,12,9]],"date-time":"2004-12-09T10:56:37Z","timestamp":1102589797000},"page":"51-65","source":"Crossref","is-referenced-by-count":16,"title":["Stability remarks to the obstacle problem for p-Laplacian type equations"],"prefix":"10.1007","volume":"23","author":[{"given":"Jos\u00e9 Francisco","family":"Rodrigues","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"Br\u00e9zis, H.: Nouveaux th\u00e9or\u00e9ms de r\u00e9gularit\u00e9 pour les probl\u00e9mes unilat\u00e9raux. Rencontre entre Physicien Th\u00e9oricien et Math\u00e9maticiens, Strasbourg 12 (1971)"},{"key":"CR2","doi-asserted-by":"crossref","first-page":"565","DOI":"10.2969\/jmsj\/02540565","volume":"25","author":"Br\u00e9zis","year":"1973","unstructured":"Br\u00e9zis, H., Strauss, W.: Semi-linear second-order elliptic equations in L 1. J. Math. Soc. Japan 25, 565-590 (1973)","journal-title":"J. Math. Soc. Japan"},{"key":"CR3","doi-asserted-by":"crossref","unstructured":"Br\u00e9zis, H., Kinderlehrer, D.: The smoothness of solutions to nonlinear variational inequalities. Indiana Univ. Math. J. 23, 831-844 (1973\/74)","DOI":"10.1512\/iumj.1974.23.23069"},{"key":"CR4","unstructured":"Caffarelli, L.: A remark on the Hausdorff measure of a free boundary, and the convergence of coincidence sets. Boll. Un. Mat. Ital. A (5) 18, 109-113 (1981)"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1007\/BF00376141","volume":"114","author":"Choe","year":"1991","unstructured":"Choe, H.J.: A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems. Arch. Rational Mech. Anal. 114, 383-394 (1991)","journal-title":"Arch. Rational Mech. Anal."},{"key":"CR6","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1137\/0522039","volume":"22","author":"Choe","year":"1991","unstructured":"Choe, H.J., Lewis, J.: On the obstacle problem for quasilinear elliptic equations of p Laplacian type. SIAM J. Math. Anal. 22, 623-638 (1991)","journal-title":"SIAM J. Math. Anal."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1016\/0362-546X(83)90061-5","volume":"7","author":"DiBenedetto","year":"1983","unstructured":"DiBenedetto, E.: $C^{1+\\alpha}$ local regularity of weak solutions of degenerate elliptic equations. Nonlinear Anal. 7, 827-850 (1983)","journal-title":"Nonlinear Anal."},{"key":"CR8","doi-asserted-by":"crossref","unstructured":"Gilbarg, D., Trudinger, N.: Elliptic partial differential equations of second order. Reprint of the 1998 edn., Classics in Mathematics. Springer, Berlin 2001","DOI":"10.1007\/978-3-642-61798-0"},{"key":"CR9","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1006\/jdeq.1999.3754","volume":"164","author":"Karp","year":"2000","unstructured":"Karp, L., Kilpel\u00e4inen, T., Petrosyan, A., Shahgholian, H.: On the porosity of free boundaries in degenerate variational inequalities. J. Differential Equations 164, 110-117 (2000)","journal-title":"J. Differential Equations"},{"key":"CR10","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.jde.2003.06.002","volume":"195","author":"Lee","year":"2003","unstructured":"Lee, K., Shahgholian, H.: Hausdorff dimension and stability for the p-obstacle problem ( $2<p<\\infty$ ). J. Differential Equations 195, 14-24 (2003)","journal-title":"J. Differential Equations"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1007\/BF02795502","volume":"23","author":"Lewy","year":"1970","unstructured":"Lewy, H., Stampacchia, G.: On the smoothness of superharmonics which solve a minimum problem. J. Analyse Math. 23, 224-236 (1970)","journal-title":"J. Analyse Math."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0362-546X(90)90016-A","volume":"15","author":"Fuchs","year":"1990","unstructured":"Fuchs, M.: H\u00f6lder continuity of the gradient for degenerate variational inequalities. Nonlinear Anal. 15, 85-100 (1990)","journal-title":"Nonlinear Anal."},{"key":"CR13","unstructured":"Kinderlehrer, D., Stampacchia, G.: An introduction to variational inequalities and their applications. Academic Press, New York London 1980"},{"key":"CR14","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1080\/03605309108820780","volume":"16","author":"Mu","year":"1991","unstructured":"Mu, J., Ziemer, W.P.: Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations, Comm. Partial Differential Equations 16, 821-843 (1991)","journal-title":"Partial Differential Equations"},{"key":"CR15","doi-asserted-by":"crossref","first-page":"370","DOI":"10.1016\/0022-0396(92)90036-M","volume":"95","author":"Mu","year":"1992","unstructured":"Mu, J.: Higher regularity of the solution to the p-Laplacian obstacle problem. J. Differential Equations 95, 370-384 (1992)","journal-title":"J. Differential Equations"},{"key":"CR16","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1016\/0001-8708(69)90009-7","volume":"3","author":"Mosco","year":"1969","unstructured":"Mosco, U.: Convergence of convex sets and of solutions of variational inequalities. Advances in Math. 3, 510-585 (1969)","journal-title":"Advances in Math."},{"key":"CR17","unstructured":"Frehse, J., Mosco, U.: Irregular obstacles and quasivariational inequalities of stochastic impulse control. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 9, 105-157 (1982)"},{"key":"CR18","unstructured":"Ladyzhenskaya, O., Ural\u2019tseva, N.: Linear and quasilinear elliptic equations. Academic Press, New York London 1968"},{"key":"CR19","first-page":"499","volume":"13","author":"L\u00e9n\u00e9","year":"1974","unstructured":"L\u00e9n\u00e9, F.: Sur les mat\u00e9riaux \u00e9lastiques \u00e1 \u00e9nergie de d\u00e9formation non quadratique. J. M\u00e9canique 13, 499-534 (1974)","journal-title":"J. M\u00e9canique"},{"key":"CR20","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1016\/0362-546X(88)90053-3","volume":"12","author":"Lieberman","year":"1988","unstructured":"Lieberman, G.: Boundary regularity for solutions of degenerate elliptic equations. Nonlinear Anal. 12, 1203-1219 (1988)","journal-title":"Nonlinear Anal."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1512\/iumj.1991.40.40045","volume":"40","author":"Lieberman","year":"1991","unstructured":"Lieberman, G.: Regularity of solutions to some degenerate double obstacle problems. Indiana Univ. Math. J. 40, 1009-1028 (1991)","journal-title":"Indiana Univ. Math. J."},{"key":"CR22","doi-asserted-by":"crossref","first-page":"1245","DOI":"10.1016\/0362-546X(88)90056-9","volume":"12","author":"Lindqvist","year":"1988","unstructured":"Lindqvist, P.: Regularity for the gradient of the solution to a nonlinear obstacle problem with degenerate ellipticity. Nonlinear Anal. 12, 1245-1255 (1988)","journal-title":"Nonlinear Anal."},{"key":"CR23","unstructured":"Lions, J.-L.: Quelques m\u00e9thodes de r\u00e9solution des probl\u00e9mes aux limites non lin\u00e9aires (French) Dunod. Gauthier-Villars, Paris 1969"},{"key":"CR24","unstructured":"Norando, T.: $C^{1,\\alpha}$ local regularity for a class of quasilinear elliptic variational inequalities. Boll. Un. Mat. Ital. C (6) 5, 281-292 (1986)"},{"key":"CR25","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1016\/0022-0396(84)90105-0","volume":"51","author":"Tolksdorf","year":"1984","unstructured":"Tolksdorf, P.: Regularity for a more general class of quasilinear elliptic equations. J. Differential Equations 51, 126-150 (1984)","journal-title":"J. Differential Equations"},{"key":"CR26","first-page":"463","volume":"41","author":"Rodrigues","year":"1982","unstructured":"Rodrigues, J.F.: On the stability of the free boundary in the obstacle problem for a minimal surface. Portugaliae Math. 41, 463-480 (1982)","journal-title":"Portugaliae Math."},{"key":"CR27","unstructured":"Rodrigues, J.F.: Obstacle problems in mathematical physics. North-Holland, Amsterdam 1987"},{"key":"CR28","doi-asserted-by":"crossref","unstructured":"Rodrigues, J.F.: On a new class of nonlocal unilateral problems in thermomechanics, Lectures on applied mathematics (Munich, 1999). Springer, Berlin 2000, pp. 89-101","DOI":"10.1007\/978-3-642-59709-1_7"}],"container-title":["Calculus of Variations and Partial Differential Equations"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00526-004-0288-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00526-004-0288-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00526-004-0288-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,30]],"date-time":"2021-06-30T20:24:26Z","timestamp":1625084666000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00526-004-0288-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,5]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2005,5]]}},"alternative-id":["288"],"URL":"https:\/\/doi.org\/10.1007\/s00526-004-0288-3","relation":{},"ISSN":["0944-2669","1432-0835"],"issn-type":[{"value":"0944-2669","type":"print"},{"value":"1432-0835","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,5]]}}}