# zbMATH — the first resource for mathematics

Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations. (English) Zbl 0742.35010
(From the introduction). The object of this paper is to investigate the smooth regularity properties of solutions to the double obstacle problem for a general class of equations whose prototype is the $$p$$-Laplacian. Regularity is investigated both in the interior and at the boundary.

##### MSC:
 35B65 Smoothness and regularity of solutions to PDEs 35J70 Degenerate elliptic equations 35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000) 35D10 Regularity of generalized solutions of PDE (MSC2000)
##### Keywords:
double obstacle problem; $$p$$-Laplacian
Full Text:
##### References:
 [1] Choc H. J., preprint (1990) [2] DiBenedetto E., Nonlinear analysis, TMA 7 pp 827– (1983) · Zbl 0539.35027 [3] Evans L. C., J. Diff. Eqns. 45 pp 356– (1982) · Zbl 0508.35036 [4] Frehse J., Ann. Norm. 9 pp 105– (1982) [5] Fuchs M., Bonn Lecture Notes 9 (1989) [6] Giaquinta M., Annals of Math. Studies 105 (1983) [7] Kilpeläinen T., Arkiv för Matemtik to appear [8] Lewis J., Ind. Univ. math. J. 32 pp 849– (1983) · Zbl 0554.35048 [9] Lieberman G., Nonlinear Analysis, TMA 12 pp 1203– (1988) · Zbl 0675.35042 [10] Lieberman G., preprint 12 (1990) [11] Lindqvist, J. Nonlinear Analysis, TMA 12 pp 1245– (1988) [12] Manfredi J., J. Diff. Equations 76 pp 203– (1988) · Zbl 0674.35008 [13] Norando T., Boll. Un. Ital. Mat. 5 pp 281– (1986) [14] Tolksdorf, J. Diff. Equations 51 pp 126– (1984) · Zbl 0488.35017
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.