On the Hölder regularity for obstacle problems to porous medium type equations. (English) Zbl 1498.35136
Summary: We show that signed weak solutions to parabolic obstacle problems with porous medium-type structure are locally Hölder continuous, provided that the obstacle is Hölder continuous.
MSC:
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35D30 | Weak solutions to PDEs |
| 35K65 | Degenerate parabolic equations |
| 35K67 | Singular parabolic equations |
| 35K86 | Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
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