Acta mathematica scientia,Series B ›› 1987, Vol. 7 ›› Issue (3): 329-339.

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NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W01,p INVOLVING LIMITING NONLINEARITIES

Li Gongbao   

  1. Dept. of Math., Wuhan University, Wuhan, China
  • Received:1986-11-20 Online:1987-09-25 Published:1987-09-25

Abstract: In this paper, We get the existence of non-trivial solutions of the following elliptic equations
i=1n /∂xi (|▽u|p-2 ∂u/∂xi)=λ|u|p-2u±u|u|p*-2 in ΩRn,
where n > p ≥ 2 and p*=np/(n-p).

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