Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents

On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in R N $R^{N}$

“…Remark 2.2 The main results of this paper extend and complement those of [4,5,26,29,30]. Even in the scalar cases σ = 0, 0 < μ < μ, m = 1, and u = v, the above results in the whole space are new.…”

Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity

“…18), and(3.19) thatZ K.x/jV j p dx D Z .K.x/ K.0// jV j p dx C K.0/S N N p C O p.ˇ2 ƒ0/ Á C k 1 , S N N p K C .0/ > 0.This, combined with Theorem 2.1, implies the desired conclusion. Copyright © 2016 John Wiley & Sons, Ltd.…”

“…However, concerning the existence and multiplicity of G-symmetric solutions for elliptic systems, we can only find some G-symmetric results for singular elliptic systems in [16][17][18] and, when G D O.N/, some radial and nonradial results for nonsingular elliptic systems in [19]. Motivated by [5,7,12], in the present paper, we are concerned with the existence and multiplicity of G-symmetric solutions for system (1.1).…”