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Asymptotic estimates for the eigenvalues of some nonlinear elliptic problems
by
Ali Djellit
University of Annaba, Dpt of Mathematics, BP 12-23000 Annaba-ALGERIA
Coauthors: Nawal Benouhiba
This work is devoted to the study of the eigensolutions of some semilinear elliptic problems defined in IRn. Our concern being largely the distribution of eigenvalues. Using a variational method, we establish the existence of a sequence of pair of solutions . Our concern being largely the distribution of eigenvalues. Using a variational method, we establish the existence of a sequence of pair of solutions . We show that the number N(/lambda)or counting function of eigenvalues less than satisfies Weyl-Courant or Wet-Mendel formulas.
Date received: September 23, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calu-11.