J4 ›› 2011, Vol. 46 ›› Issue (3): 89-93.

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The existence of solution for a doubly nonlinear p-Laplacian equation

LI Yong-jun   

  1. School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, China
  • Received:2010-09-26 Published:2011-04-21

Abstract:

A doubly nonlinear p-Laplacian equation is studied for nonlinear functions with polynomial growth of arbitrary. Using Galerkin approximation and Legendre transform, by the energy estimate method,  the existence of solution is proved  for a general doubly nonlinear p-Laplacian equation.

Key words: p-Laplacian equation; Galerkin approximation; Legendre transform

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