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Quasilinearization Method for Nonlinear Elliptic Boundary-Value Problems

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  • A. Buică

    (Babeş-Bolyai University)

Abstract

The quasilinearization method is developed for strong solutions of semilinear and nonlinear elliptic boundary-value problems. We obtain two monotone, Lp-convergent sequences of approximate solutions. The order of convergence is two. The tools are some results on the abstract quasilinearization method and from weakly–near operators theory.

Suggested Citation

  • A. Buică, 2005. "Quasilinearization Method for Nonlinear Elliptic Boundary-Value Problems," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 323-338, February.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:2:d:10.1007_s10957-004-0928-y
    DOI: 10.1007/s10957-004-0928-y
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    References listed on IDEAS

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    1. S. Karl & V. Lakshmikantham, 2001. "Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 27-50, April.
    2. Severin Borenstein, 2002. "The Trouble With Electricity Markets: Understanding California's Restructuring Disaster," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 191-211, Winter.
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