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
Nyamoradi, N., Shekarbaigi, M. (2013). ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS. International Journal of Mathematical Modelling & Computations, 3(3 (SUMMER)), 217-236.
MLA
Nemat Nyamoradi; Mohsen Shekarbaigi. "ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS". International Journal of Mathematical Modelling & Computations, 3, 3 (SUMMER), 2013, 217-236.
HARVARD
Nyamoradi, N., Shekarbaigi, M. (2013). 'ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS', International Journal of Mathematical Modelling & Computations, 3(3 (SUMMER)), pp. 217-236.
VANCOUVER
Nyamoradi, N., Shekarbaigi, M. ON QUASILINEAR ELLIPTIC SYSTEMS INVOLVING MULTIPLE CRITICAL EXPONENTS. International Journal of Mathematical Modelling & Computations, 2013; 3(3 (SUMMER)): 217-236.
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