Teoremi di media e formole di maggiorazione relative alle funzioni biarmoniche
The Martin compactification of the polydisc at the bottom of the positive spectrum.
The mean curvature measure
We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is weakly continuous with respect to almost everywhere convergence. We also establish a sharp Harnack inequality for the minimal surface equation, which is crucial for our proof of the weak continuity. As an application we prove the existence of weak solutions to the...
The obstacle problem for the biharmonic operator
Théorie du potentiel associée à certains systèmes différentiels.