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| In this paper we study the existence of infinitely many solutions to the degenerate quasilinear elliptic sy stem -div(h1(x)|▽u|p-2▽u)=d(x)|u|r-2u+Gu(x,u,v) inΩ, -div(h2(x)|▽v|p-2▽v)=f(x)|v|s-2v+Gv(x,u,v) inΩ, u=v=0 onδΩ, where Ω is a bounded domain in RN with smooth boundary δΩ, N≥2, 1<r<p<N,1<s<q<N, h1(x), h2(x) are allowed to have “essential” zeroes at somepoints in Ω, d(x)|u|r-2u and f(x)|v|s-2v are small sources with Gu(x,u,v), Gv(x,u,v) being their high-order perturbationswith respect to (u,v) near the origin respectively. |
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| Keywords:Weighted (p,q)-Laplacian; Small sources; Multiplicity |
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