Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 217-222.

• Articles •     Next Articles

The Decay of Weak Solution of Pseudo-asymptotic Linear p&q-Laplacian Equation on RN

He Chengjun, Li Gongbao   

  1. (1.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071;
    2. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079)
  • Received:2007-06-15 Revised:2008-12-30 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10571069, 10631030)资助

Abstract:

In this paper, the authors study the following equation

{ Δpu+m|u|p-2uqu+n|u|q-2u=g(x, u),    x ∈ RN,
  u ∈  W1, p(RN) ∩ W1, q(RN)

where m, n>0,  N\ ≥ 3, 1 < q < p < N and g(x, u) satisfies some kind of asymptotic about u at infinity.
They prove that the solution of this equation decays exponentially aoubt |x| at infinity.

Key words: p&q-Laplace, Elliptic equation, Decay.

CLC Number: 

  • 35B65
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