Multiplicity of Solutions for Quasilinear Elliptic Systems with Singularity

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 vi...

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Veröffentlicht in:	Acta Mathematicae Applicatae Sinica 2015, Vol.31 (1), p.277-286
Hauptverfasser:	Li, Juan, Tong, Yu-xia
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Delta Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Theoretical 变分法多解奇异拟线性椭圆系统线性问题解的存在性
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Zusammenfassung:	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.
ISSN:	0168-9673 1618-3932
DOI:	10.1007/s10255-015-0466-4