Department of Mathematics and Statistics
Wichita State University
Wichita, Kansas, 67260-0033, USA
email: zhiren@math.wichita.edu
Zhiren Jin
Abstract:
We obtain rates of convergence for solutions to Dirichlet problems of
quasilinear elliptic (possibly degenerate) equations in slab-like
domains. The rates found depend on the convergence of the boundary
data and of the coefficients of the operator. These results are obtained
by constructing appropriate barrier functions based on the structure
of the operator and on the convergence of the boundary data.
Submitted November 2, 2002. Published December 9, 2003.
Math Subject Classifications: 35J25, 35J60, 35J70.
Key Words: Elliptic boundary value problems, asymptotic
behavior of solutions, unbounded domains, barriers.
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Zhiren Jin Department of Mathematics and Statistics Wichita State University Wichita, Kansas, 67260-0033, USA email: zhiren@math.wichita.edu |
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