H¨ older regularity for degenerate parabolic obstacle problems

Finally we give a bound on the Hausdorff measure of the free boundary, generalizing to non-smooth fixed boundaries ~03A9, a result of Brezis, Kinder-.. lehrer [6]

2014 Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains,

domain in JR..2, and showed that if the set of local maximum points of the boundary datum consists of N connected components, then the interior critical.. points

STAMPACCHIA, Remarks on some fourth order variational inequali- ties, Ann. FREHSE, Zum Differenzierbarkeitsproblem bei Variationsungleichungen höherer Ordnung, Hamburg

vertex V, opposite to U in the characteristic rectangle PUQV, is placed beneath the polygonal line ao.. The only

The existence of possible internal and boundary layers leads us to propose a mathematical formulation for (1) through an entropy inequality inside the stud- ied field - using

The main result of our paper is Theorem 2 which ensures the existence and uniqueness of the solution (u, ν) of the obstacle problem for (1) using probabilistic method based on

The smoother the data f (remember that problem (2.4) has homogeneous or constant boundary conditions and that the obstacle is flat), the smoother the free boundary is between