We study the isolated singularities of functions satisfying (E) (--$\Delta$) s v$\pm$|v| p--1 v = 0 in $\Omega$\{0}, R N \$\Omega$, where < 1, p > 1 and $\Omega$ is a bounded domain containing origin. use Caffarelli-Silvestre extension to + x N. emphasize obtention priori estimates, analyse set self-similar solutions via energy methods characterize singularities.

A p a s s i v e h a e m a g g l u t i n a t i o n tes t ( P H A ) for h u m a n n e u r o c y s t i c e r c o s i s w a s s t a n d a r d i z e d a n d e v a l u a t e d for the de tec t i on of spec i f i c a n t i b o d i e s to C y s t i c e r c u s c e l l u losae i n c e r e b r o s p i n a l f l u id ( C S F ) . F o r the a s s a y , f o r m a l d e h y d e t r e a t e d g r o u p O R h h...

BACKGROUND While studies have demonstrated the economic burden of migraines in terms of quality of life, health care resource use (HRU), and costs, there exists a notable paucity of data comparing such outcomes among migraineurs with nausea and vomiting (N/V) and those without. The current study aimed to address this gap. METHODS This was a retrospective study using data from the 2013 US Nati...

Given two words u and v, the binomial coefficient ( u v ) is the number of ways v appears as a subword (or subsequence) of u. The Thue-Morse sequence is the infinite word t = abbabaab · · · obtained by iteration of the morphism τ (a) = ab and τ (b) = ba. We show that, for every prime p, and every positive integer n, there exists an integer m = f(p, n), such that, for every non-empty word v of l...

background: child ho od cancer, as o n e of the life thre at ening and most serio u s health pro b lems, co n si d er a bly i n fl u en ce s the cogniti v e and soci a l functions of children with c ancer and the i r families; ho w e ver, sur p risin gl y e n ough, t h ese chil d ren are q u ite co mpatible w ith their pe ers and even fu n ction bet t er emotio n ally compa r ed with norm a l c...

Let V be a set of n points in R, which we call voters, where d is a fixed constant. A point p ∈ R is preferred over another point p′ ∈ R by a voter v ∈ V if dist(v, p) < dist(v, p′). A point p is called a plurality point if it is preferred by at least as many voters as any other point p′. We present an algorithm that decides in O(n logn) time whether V admits a plurality point in the L2 norm an...

Let V denote V (n, q), the vector space of dimension n over GF(q). A subspace partition of V is a collection Π of subspaces of V such that every nonzero vector in V is contained in exactly one subspace belonging to Π. The set P(V ) of all subspace partitions of V is a lattice with minimum and maximum elements 0 and 1 respectively. In this paper, we show that the number of elements in P(V ) is c...