Many authors have considered this problem, specially in the case p= 2, in the form cf. eg [BBC],[BS],[BG1].
We are interested here in the case 1 p N. The case p &# x3E; N offers less …

… We now know that 0 ≤ Lr(y) is bounded above for fixed r and y in a compact subset of
dist (y,∂U) < r and decreases as r decreases. Interchanging x and y in 2.9 and putting the …

… The appendix discusses L2 projection onto the convex set K = fv 2 L2(R) j jDvj 1 aeg: We …
In this section we review some key ideas, taken from R] and EG]. Let f : Rn ! R be a summable …

… Then for functions v: U —* R v consider the functional … The goal is to analyse some appropriate
measure U(x,r) of the mean-square oscillation of Du on a ball B(x,r) C 0. We hope to show…

… Thus there is a Lipschitz continuous function v1 : V → R such that … Above we denote by
(f)y0,r the average of f over the ball B(y0,r), with center y0 and radius r. …

… Changes in the ratio of the integrated emission bands R 1 and R 2 (and their respective
intensities in au, I 1 , and I 2 ), which stem from transitions between energy states E 6 -E 1 and E …

In a retrospective study of forty-nine rheumatoid patients followed for five to seventeen years
after synovectomy in sixty-six knees, the effects of the operation and the influence of …

… Ω ⊂ R n , the simplest such model problem is the pointwise functional where g:∂Ω → R is
a … Throughout this article, we make the following four assumptions on the Hamilton H:R n …

… 2] we see there exist functions ux and u2 subharmonic in R" with associated measures -v-
and -v + respectively, such that us(0)=0 and u= -=Ul-U2, H ~ almost everywhere in …

We show that the weak convergence of a sequence of functions in a Sobolev space plus the
convergence of appropriately quasiconvex “energies” imply, in fact, strong convergence. …