ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS

International Journal of Mathematical Modelling & Computations

مقاله 5، دوره 3، 3 (SUMMER)، فروردین 2013، صفحه 217-236   

نویسندگان

Nemat Nyamoradi؛ Mohsen Shekarbaigi

Iran, Islamic Republic of

چکیده

In this paper, we consider the existence of a non-trivial weak
solution to a quasilinear elliptic system involving critical Hardy
exponents. The main issue of the paper is to understand the
behavior of these Palais-Smale sequences. Indeed, the principal
difficulty here is that there is an asymptotic competition between
the energy functional carried by the critical nonlinearities. Then
by the variational method, we obtain the existence non-trivial
week solution for the system

کلیدواژه‌ها

Quasilinear elliptic system؛ Critical Hardy exponents؛ Singular weights؛ Energy functional؛ Variational method