caa a22 4500 386382573 CHVBK 20180307112047.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500018771 doi S0308210500018771 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500018771 Lieberman Gary M. Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A. Boundary regularity for linear and quasilinear variational inequalities [Elektronische Daten] [Gary M. Lieberman] A method of Jensen is extended to show that the second derivatives of the solutions of various linear obstacle problems are bounded under weaker regularity hypotheses on the dataof the problem than were allowed by Jensen. They are, in fact, weak enough that the linear results imply the boundedness of the second derivatives for quasilinear problems as well. Comparisons are made with previously known results, some of which are proved by similar methods. Both Dirichlet and oblique derivative boundary conditions are considered. Corresponding results for parabolic obstacle problems are proved. Copyright © Royal Society of Edinburgh 1989 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/3-4(1989), 319-326 0308-2105 112:3-4<319 1989 112 PRM https://doi.org/10.1017/S0308210500018771 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500018771 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lieberman Gary M. Department of Mathematics, Iowa State University, Ames, Iowa 50011, U.S.A NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/3-4(1989), 319-326 0308-2105 112:3-4<319 1989 112 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge