R~N上临界增长的椭圆方程无穷多解的存在性

冉启康;方爱农

数学学报 ›› 2002, Vol. 45 ›› Issue (4) : 773-782.

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中国科学院数学与系统科学研究院期刊网
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数学学报 ›› 2002, Vol. 45 ›› Issue (4) : 773-782. DOI: 10.12386/A2002sxxb0100
论文

R~N上临界增长的椭圆方程无穷多解的存在性

    冉启康;方爱农
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Existence of Infinitely Many Solutions on a Class of Elliptic Equations in R_N

    Qi Kang RAN(1),Ai Nong FANG(2)
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摘要

本文证明了RN上的拟线性椭圆型方程-div（|Du|p-2Du）+|u|p-2u=λ（x）·|u|α-2u+a（x）|u|s-2u+b（x）|u|p＊-2u在W1,p（RN）中无穷多解的存在性,其中N≥3,2≤p

Abstract

This paper gives the result of existence of infinitely many solutions on quasi-linear elliptic equation -div[|Du|p-2Du] +|u|p-2u=λ(x)|u|α-2u+a(x)|u|s-2u+a(x)|u|p*-2u in W1,P(RN), where N≥3, 2≤p

关键词

亏格 / 弱解 / 拟线性椭圆型方程 / 集中紧性原理

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冉启康;方爱农. R~N上临界增长的椭圆方程无穷多解的存在性. 数学学报, 2002, 45(4): 773-782 https://doi.org/10.12386/A2002sxxb0100
Qi Kang RAN(1),Ai Nong FANG(2). Existence of Infinitely Many Solutions on a Class of Elliptic Equations in R_N. Acta Mathematica Sinica, Chinese Series, 2002, 45(4): 773-782 https://doi.org/10.12386/A2002sxxb0100
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