Abstract

Aim of this paper is to study the following elliptic equation driven by a gen- eral non-local integrodifferential operator LK such that LKuCu Cjuj 2 2 uD0 in, uD0 in R n n, wheres2.0;1/, is an open bounded set of R n ,n > 2s, with Lipschitz boundary, is a positive real parameter,2 D2n=.n 2s/ is a fractional critical Sobolev exponent, while LK is the non-local integrodifferential operator

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