ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS
الموضوعات : فصلنامه ریاضی
Nemat Nyamoradi
1
(Iran, Islamic Republic of)
Mohsen Shekarbaigi
2
(Iran, Islamic Republic of)
الکلمات المفتاحية: Quasilinear elliptic system, Critical Hardy exponents, Singular weights, Energy functional, Variational method,
ملخص المقالة :
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