NONLINEAR ELLIPTIC-EQUATIONS WITH BOUNDAR Y SINGULARITIES IN NONSMOOTH DOMAINS

Let Omega be a domain in R(N), with a boundary delta Omega regular exc ept at a finite number of conical type points a(i). We study under wha t condition any solution u of -Delta u + \u\(q-1) u = 0 in Omega, whic h is continuous in ($) over bar Omega boolean OR {a(i)} and coincides on delta Omega boolean OR {a(i)}, with a function phi continuous on de lta Omega can be extended as a continuous function in ($) over bar Ome ga.