Acta mathematica scientia,Series B ›› 1991, Vol. 11 ›› Issue (2): 128-135.

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

Chen Wenxiong   

  1. Inst. of Math, Academia Sinica, Beijing, China
  • Received:1985-08-06 Revised:1987-07-05 Online:1991-06-25 Published:1991-06-25

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

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