Lq-REGULARITY ESTIMATES FOR DOUBLE OBSTACLE PROBLEMS WITH QUASILINEAR OPERATORS AND SCHRODINGER-TYPE LOWER ORDER TERMS

초록

. We derive interior and boundary Lq-regularity estimates for double obstacle problems involving quasilinear operators of p-Laplacian type and lower-order terms with nonnegative potential functions satisfying a reverse Ho<spacing diaeresis>lder type condition. We prove that the Lq norms of the gradient of a solution to the obstacle problem, as well as the lower-order term, can be estimated by the Lq norms of the data and the gradients of the obstacles. Moreover, the relevant constants in the Lq estimates depend only on the constant in the reverse Ho<spacing diaeresis>lder type condition for the potential and are independent of the potential.

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