25 citations · 27 across the 4 of their papers we have counts for
6 papers
On the validity of Tonelli's Theorem
Paolo Roselli, Michel Willem
This work analyzes the validity of Tonelli's theorem, overcoming the traditional assumption of -finiteness. We prove that the existence and equality of iterated integrals for in…
On the validity of the Radon-Nikodym Theorem
Paolo Roselli, Michel Willem
This paper presents a new general formulation of the Radon-Nikodym theorem in the setting of abstract measure theory. We introduce the notion of weak localizability for a measure a…
A Liouville theorem for the -Laplacian and related questions
Alberto Farina, Carlo Mercuri, Michel Willem
We prove several classification results for -Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changing solutions to -Laplacia…
On some weakly coercive quasilinear problems with forcing
Andrzej Szulkin, Michel Willem
We consider the forced problem , where is the -Laplacian () in a domain , and $Q_V (u) := \int…
POVMs: a small but important step beyond standard quantum mechanics
Willem M. de Muynck
It is the purpose of the present contribution to demonstrate that the generalization of the concept of a quantum mechanical observable from the Hermitian operator of standard quant…
Remarks on a Sobolev-Hardy inequality
S. Secchi, D. Smets, M. Willem
We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some op…