Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (4): 349-357.

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Oscillation Criteria Related to Integral Averaging Technique for Quasilinear Elliptic Equations

  

  1. 1.Department of Mathematics ,South China Normal  University ,Guangz hou  510631,China; 2. Depart - ment of Applied Mathematics ,South China University of Technology ,Guangz hou 510641,China)

  • Received:2001-09-20 Online:2003-12-30 Published:2024-04-01
  • About author:XU Zhi-ting(1963-),male ,native of Xuancheng ,Anhui ,an associate professor of South China Normal University ,Ph.D.,engages in differential equation; MA Dong-kui(1964-),male ,native of Qinhuangdao ,Hebei ,an associ- ate professor of South China University of Technology ,Ph.D.,engages in dynamical systems .
  • Supported by:
     SupportedbytheNaturalScienceFoundationofGuangdongProvince( 0 2 0 14 6);

Abstract: Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equations ...  ,where Ωis an exterior domain ,m >1,and p(x)is an alternating function. The integral averaging technique is employed to establish our results .

Key words: oscillation, quasilinear elliptic equations, Riccati inequality

CLC Number: