Existence and C^{1,α} regularity are established for solutions of the obstacle p-Laplacian problem with singular discontinuous reaction.
Lindqvist,Regularity for the gradient of the solution to a nonlinear obstacle problem with degenerate ellipticity, Nonlinear Anal., 12 (1988), pp
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The obstacle problem for singular quasi-linear elliptic equations
Existence and C^{1,α} regularity are established for solutions of the obstacle p-Laplacian problem with singular discontinuous reaction.