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Regularity of solutions to some degenerate double obstacle problems. (English) Zbl 0767.35029
Summary: We study double obstacle problems for a class of elliptic operators modelled on the \(p\)-Laplacian operator: \(Qu=\text{div}(| Du|_{P-2} Du)\) for \(p>1\). When the obstacles are \(C^{1,\alpha}\) (with \(\alpha\) sufficiently small), so is the solution; this regularity is proved both locally and up to the boundary.

MSC:
35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J70 Degenerate elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
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