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A note on the stability and the approximation of solutions for a Dirichlet problem with p(x)-Laplacian

Published online by Cambridge University Press:  17 February 2009

Marek Galewski
Marek Galewski
Affiliation:
Faculty of Mathematics and Computer Science University of LodzBanacha 22 90–238 Lodz Poland email:galewski@math.uni.lodz.pl.
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We show the stability results and Galerkin-type approximations of solutions for a family of Dirichlet problems with nonlinearity satisfying some local growth conditions. 2000 Mathematics subject classification: primary 35A15; secondary 35B35, 65N30. Keywords and phrases: p(x)-Laplacian, duality, variational method, stability of solutions, Galerkin-type approximations.

Type
Research Article
Information
The ANZIAM Journal , Volume 49 , Issue 1 , July 2007 , pp. 75 - 83
Copyright
Copyright © Australian Mathematical Society 2007

References

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