Author： Chung-Cheng Kuo
Publisher： Taylor & Francis Ltd
ISSN： 0003-6811
Source： Applicable Analysis, Vol.83, Iss.9, 2004-09, pp. : 897-903
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Abstract
In this article, we apply the Galerkin approximation method to obtain an existence theorem of weak solutions for 2mth order quasilinear elliptic partial differential resonance equations -Q(u)+f(x,u) =G on a bounded open connected subset 
of in which the nonlinearity f(x,u) has no growth restriction in u in one of the directions (u
and u - ) and belongs to o(|u|p-1) (p> N/m) in the other, and G
[m,p( )]* may satisfy a Landesman-Lazer condition.
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