Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 282-287.

• Articles • Previous Articles     Next Articles

Decay Rate of Solutions to An Inhomogenerous Semilinear Biharmonic Equation in Entire Space

Yang Fen   

  1. College of Science, Wuhan University of Science and Technology, Wuhan 430065
  • Received:2013-10-27 Revised:2014-12-11 Online:2015-04-25 Published:2015-04-25

Abstract:

In this paper, we consider the existence of the positive solutions for the inhomogeneous biharmonic equation
2u +up +f(x)=0, x∈Rn (*)
where Δ2 is the biharmonic operator, p>1, n≥5, and f0 is a given nonnegative function. Based on [16], the existence of solutions with the third decay rate at infinity are established under the assumptions on f.

Key words: Inhomogeneous biharmonic equation, Positive solution, Decay rate

CLC Number: 

  • O175.25
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