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Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • P. Donato

    (University of Rouen Normandie)

  • F. Raimondi

    (University of Rouen Normandie
    University of Salerno)

Abstract

We prove here some existence, uniqueness, and regularity results for a weak solution of a quasilinear elliptic singular problem posed in a two-component domain. The difficulty arises in dealing simultaneously with the quasilinear matrix field, the singular datum, and the interface condition.

Suggested Citation

  • P. Donato & F. Raimondi, 2017. "Existence and Uniqueness Results for a Class of Singular Elliptic Problems in Two-Component Domains," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 0, pages 83-93, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59384-5_8
    DOI: 10.1007/978-3-319-59384-5_8
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