Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (2): 181-191.

• Articles • Previous Articles     Next Articles

A PHRAGMEN-LINDELÖF ALTERNATIVE FOR A CLASS OF SECOND ORDER QUASILINEAR EQUATIONS IN R3

Lin Changhao   

  1. Dept. of Math., South China Normal Univ., Guangzhou 510631, China
  • Received:1993-03-13 Revised:1995-04-15 Online:1996-06-25 Published:1996-06-25

Abstract: The present paper investigates the asymptotic behavior of solutions for a class of second order inhomogeneous quasilinear equations on a three dimensional semiinfinite cylinder. A Phragmen-Lindelöf type alternative is obtained, i.e., it is shown that in appropriate norms solutions of the equations either grow or decay as some spatial variable tends to infinity.

Key words: quasilinear elliptic equation, energy estimate, Phragmen-Lindelöf alternative

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