李园庭. 一类拟线性椭圆型方程的CHOQUARD-PEKAR问题[J]. 南昌航空大学学报(自然科学版), 2007, 21(4): 8-12.
引用本文: 李园庭. 一类拟线性椭圆型方程的CHOQUARD-PEKAR问题[J]. 南昌航空大学学报(自然科学版), 2007, 21(4): 8-12.
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LI Yuan-ting. CHOQUARD-PEKAR problem for a class of quasilinear elliptic equations[J]. Journal of nanchang hangkong university(Natural science edition), 2007, 21(4): 8-12.
Citation: LI Yuan-ting. CHOQUARD-PEKAR problem for a class of quasilinear elliptic equations[J]. Journal of nanchang hangkong university(Natural science edition), 2007, 21(4): 8-12.
shu

一类拟线性椭圆型方程的CHOQUARD-PEKAR问题

CHOQUARD-PEKAR problem for a class of quasilinear elliptic equations

    摘要
  • 摘要: 讨论了一类拟线性椭圆型方程的CHOQUARD-PEKAR问题在无界区域中的非平凡解的存在性,对于极小问题Iλ和Iλ∞,得到了对于每个λ>0,存在α∈(0,λ),使得Iα和Iα∞可以达到.

     

    Abstract: In this paper,the CHOQUARD-PEKAR problem for a class of quasilinear elliptic equations is discussed.We obtained that for every λ0 in the minimum problems Iλand Iλ∞,there exists α∈0,λ,such that both problems Iαand Iα ∞ have nontrivial solutions.

     

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