The Yamabe equation in a non-local setting

Advances in Nonlinear Analysis

Servadei Raffaella¹ 

[1] Dipartimento di Matematica e Informatica,Università della Calabria,Ponte Pietro Bucci 31 B, 87036 Arcavacata di Rende (Cosenza), Italy;

关键词: mountain pass theorem;    linking theorem;    critical nonlinearities;    best fractional critical sobolev constant;    palais–smale condition;    fractional laplacian;   

DOI  :  10.1515/anona-2013-0008

来源: DOAJ

【 摘 要 】

Aim of this paper is to study the following elliptic equation driven by a general non-local integrodifferential operator  such thatin ,in , where ,is an open bounded set of ℝn, , with Lipschitz boundary, λ is a positive real parameter,is a fractional critical Sobolev exponent, whileis the non-local integrodifferential operator

【 授权许可】

Unknown