J4 ›› 2012, Vol. 50 ›› Issue (05): 969-971.

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Nonexistence of Solutions of a Class of QuasilinearElliptic Equations with Singular and Gradient Terms

JING Yuanping1, GUO Bin2, ZHANG Yongsheng1   

  1. 1. Department of Mathematics and Physics, Luoyang Institute of Science and Technology, Luoyang 471023, Henan Province, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2011-10-28 Online:2012-09-26 Published:2012-09-29
  • Contact: GUO Bin E-mail:bguo1029@gmail.com

Abstract:

The nonexistence of finite energy solutions to quasilinear elliptic equations with singular and gradient terms was proved via the first eigenvalue of p-Laplacian equations involving weight functions and the inequality for ODE.

Key words: quasilinear elliptic equation, singularity term, finite energy solution

CLC Number: 

  • O175.25