2 citations · 2 across the 2 of their papers we have counts for
4 papers
Intrinsic ultracontractivity for domains in negatively curved manifolds
Hiroaki Aikawa, Michiel van den Berg, Jun Masamune
Let be a complete, non-compact, connected Riemannian manifold with Ricci curvature bounded from below by a negative constant. A sufficient condition is obtained for open and co…
On capacity and torsional rigidity
Michiel van den Berg, Giuseppe Buttazzo
We investigate extremality properties of shape functionals which are products of Newtonian capacity $\cp(\overline{\Om})$, and powers of the torsional rigidity $T(\Om)$, for an ope…
Sign changing solutions of Poisson's equation
Michiel van den Berg, Dorin Bucur
Let be an open, possibly unbounded, set in Euclidean space with boundary let be a measurable subset of with measure , and let . We…
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
M. van den Berg, P. Gilkey, K. Kirsten +1
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initia…