Acta mathematica scientia,Series B ›› 1999, Vol. 19 ›› Issue (2): 158-167.

• Articles • Previous Articles     Next Articles

MULTIPLICITY RESULTS FOR AN INHOMOGENEOUS NONLINEAR ELLIPTIC PROBLEM

 XIE Zi-Qing   

  1. Department of Mathematics, Hunan Normal University, Changsha 410081, China The Young Scientist Laboratory of Mathematical Physics, Wuhan Institute of Physics and Mathematics,Academia Sinica, Wuhan 430071, China
  • Received:1997-04-02 Online:1999-06-03 Published:1999-06-03

Abstract:

The author proves that there exist three solutions u0, u1 and u2 in the following problem where some conditions are imposed on Q and f. Here, 0 < u0 < u1 , u2 changes sign.

Key words: Nonlinear elliptic problems, multiplicity of solutions

CLC Number: 

  • 35J20,35J60
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