INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT

数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (2): 128-135.

INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT

陈文雄

Inst. of Math, Academia Sinica, Beijing, China

收稿日期:1985-08-06 修回日期:1987-07-05 出版日期:1991-06-25 发布日期:1991-06-25

INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT

Chen Wenxiong

Inst. of Math, Academia Sinica, Beijing, China

Received:1985-08-06 Revised:1987-07-05 Online:1991-06-25 Published:1991-06-25

摘要/Abstract

摘要： In this paper, it is proved that the following boundary value problem
-△u-λu=|u|^τ-1u x∈Ω u=0 x∈∂Ω admits infinitely many solution for 0 < λ < λ₁, n ≥ 5 and for ball regions Ω=B_R(0).

陈文雄. INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT[J]. 数学物理学报(英文版), 1991, 11(2): 128-135.

Chen Wenxiong. INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT[J]. Acta mathematica scientia,Series B, 1991, 11(2): 128-135.

INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT

INFINITELY MANY SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT

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