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• W1975864986 abstract "We consider the quasilinear system $$ left{ begin{gathered} - varepsilon ^{p} ,div,(|nabla u|^{{p - 2,,}} nabla u), + ,V,(z),u,^{{p - 1,}} , = ,,Q_{{u,,}} (u,v), + ,gamma H_{u} ,(u,v),in,mathbb{R}^{N} ,, hfill - varepsilon ^{p} ,div,(|nabla v|^{{p - 2,,}} nabla v), + ,W,(z),v,^{{p - 1,}} , = ,,Q_{{v,,}} (u,v), + ,gamma H_{v} ,(u,v),{rm in},mathbb{R}^{N} ,, hfill u,,v, in ,W,^{{1,p,}} (mathbb{R}^{N} ),,,,,,u(z),,,v(z), > ,0,for,all,z {rm in} mathbb{R}^{{N,}} ,, hfill end{gathered} right.$$ where $$varepsilon > 0, 2 leq p < N$$ , V and W are positive continuous potentials, Q is an homogeneous function with subcritical growth, $$H(u, v) = |u|^{alpha}|v|^{beta}$$ with $$alpha,beta geq 1$$ satisfying $$alpha + beta = Np/(N - p)$$ . We relate the number of solutions with the topology of the set where V and W attain it minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory." @default.
• W1975864986 created "2016-06-24" @default.
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• W1975864986 date "2008-10-01" @default.
• W1975864986 modified "2023-09-27" @default.
• W1975864986 title "Multiple positive solutions for a quasilinear system of Schrödinger equations" @default.
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• W1975864986 doi "https://doi.org/10.1007/s00030-008-7051-y" @default.
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