In this paper, we study the existence of multiple solutions for the following quasilinear ellipticsystem：-△pu-μ1︳u︳p-1u/︳x︳=α1up（t）-2/︳x︳t＋β1︳v︳β2︳u︳β1-2u,x∈Ω,-△qu-μ2︳v︳q-2v/︳x︳q=α2 vq（s...In this paper, we study the existence of multiple solutions for the following quasilinear ellipticsystem：-△pu-μ1︳u︳p-1u/︳x︳=α1up（t）-2/︳x︳t＋β1︳v︳β2︳u︳β1-2u,x∈Ω,-△qu-μ2︳v︳q-2v/︳x︳q=α2 vq（s）-2/︳x︳sv＋β2︳u︳β1︳v︳β2-2v,x∈Ω u（x）=v（x）=0 x∈Ω Multiplicity of solutions for the quasilinear problem is obtained via variational method.展开更多
基金Supported by National Science Foundation of China(No.11175092,11201248 and No.61271398)Ningbao Scientific Research Foundation(2009B21003)K.C.Wong Magna Fund in Ningbo University
文摘In this paper, we study the existence of multiple solutions for the following quasilinear ellipticsystem：-△pu-μ1︳u︳p-1u/︳x︳=α1up（t）-2/︳x︳t＋β1︳v︳β2︳u︳β1-2u,x∈Ω,-△qu-μ2︳v︳q-2v/︳x︳q=α2 vq（s）-2/︳x︳sv＋β2︳u︳β1︳v︳β2-2v,x∈Ω u（x）=v（x）=0 x∈Ω Multiplicity of solutions for the quasilinear problem is obtained via variational method.
