We study the finitely dimensional approximations of the elliptic problem
defined for a smooth bounded domain on a plane. The approximations are derived from Bernstein polynomials on a triangle or on a rectangle containing . We deal with approximations of global bifurcation branches of nontrivial solutions as well as certain existence facts.
Submitted January 2, 2007. Published June 14, 2007.
Math Subject Classifications: 35J25, 41A10.
Key Words: Dirichlet problems; Bernstein polynomials; global bifurcation.
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| Jacek Gulgowski |
Institute of Mathematics, University of Gdansk
ul. Wita Stwosza 57, 80-952 Gdansk, Poland
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