4 citations · 12 across the 9 of their papers we have counts for
10 papers
measure of growth and higher order Hardy-Sobolev-Morrey inequalities
Patrick J. Rabier
When the growth at infinity of a function on is compared with the growth of for some this comparison is invariably made pointwise. This…
L^p regularity of homogeneous elliptic differential operators with constant coefficients on R^N
Patrick J. Rabier
Let be a homogeneous elliptic differential operator of order on with constant complex coefficients. A partial version of the main result is as follows: Supp…
Integral inequalities for infimal convolution and Hamilton-Jacobi equations
Patrick J. Rabier
Let be Borel measurable, bounded below and such that We prove that with the in…
Some measure-theoretic properties of generalized means
Irina Navrotskaya, Patrick J. Rabier
If is a measure space, is a given function and the function $U(x_{1},...,x_{N})=\left( \begin{array}{l} N \\ m \end{array} \right) ^{-1}…
Differentiability of quasiconvex functions on separable Banach spaces
Patrick J. Rabier
We investigate the differentiability properties of real-valued quasiconvex functions f defined on a separable Banach space X. Continuity is only assumed to hold at the points of a…
Points of continuity of quasiconvex functions on topological vector spaces
Patrick J. Rabier
We give necessary and sufficient conditions for a real-valued quasiconvex function f on a Baire topological vector space X (in particular, Banach or Frechet space) to be continuous…