Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (3): 289-292.

• Articles • Previous Articles    

AN EXISTENCE THEOREM OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS ON RN

 TANG Chun-Lei   

  1. Department of Mathematics, Southwest Normal University, Chongqing 400715, China
  • Received:1997-04-16
  • Supported by:

    The project 19871067 is supported by the National Natural Science Foundation of
    China

Abstract:

An existence theorem is obtained for nonzero W1,2(RN) solutions of the following
equations on RN
−△u + b(x)u = f(x, u), x ∈ RN,
where b is periodic for some variables and coercive for the others, f is superlinear.

Key words: semilinear elliptic equation, periodicity, coercivity, superlinearity, critical point

CLC Number: 

  • 35C15
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