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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)
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References:

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