A free boundary problem for quasi-linear elliptic equations

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]

For a one-phase free boundary problem involving a fractional Laplacian, we prove that “flat free boundaries” are C 1,α. We recover the regularity results of Caffarelli for

Ellipticity is used together with perturbation arguments based on the variational characterization, to obtain, among other geometric properties, linear growth away from the

Then we give at a formal level the extension of the system (1.8)–(1.9) to dimensions higher than 2. The estimate for the gradient is unchanged but the one on the curvature is

Reduction Cell by Computer Simulation, Light Metals, 1978, pp. CHAMBAT, Existence and Uniqueness for a Lubrication Problem with Nonregular Conditions on the Free

a problem the unknown angular velocity co for the appropriate coordinate system in which the solution is stationary can be determined by the equilibrium

In this section we complete the study of the regularity of the free boundary. started in

circuit breaker such as a fuse, the thermistor has the advantage that when the surge has fallen off the thermistor will cool down and the circuit will resume.. its