ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS
محورهای موضوعی : فصلنامه ریاضیNemat Nyamoradi 1 , Mohsen Shekarbaigi 2
1 - Iran, Islamic Republic of
2 - Iran, Islamic Republic of
کلید واژه: Quasilinear elliptic system, Critical Hardy exponents, Singular weights, Energy functional, Variational method,
چکیده مقاله :
In this paper, we consider the existence of a non-trivial weaksolution to a quasilinear elliptic system involving critical Hardyexponents. The main issue of the paper is to understand thebehavior of these Palais-Smale sequences. Indeed, the principaldifficulty here is that there is an asymptotic competition betweenthe energy functional carried by the critical nonlinearities. Thenby the variational method, we obtain the existence non-trivialweek solution for the system
