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Existence and uniqueness results for large solutions of general nonlinear elliptic equations

In: Nonlinear Evolution Equations and Related Topics

Author

Listed:
  • Moshe Marcus

    (Israel Institute of Technology Technion, Department of Mathematics)

  • Laurent Véron

    (Université François Rabelais, Laboratoire de Mathématiques et Physique Théorique CNRS UMR 6083)

Abstract

We study under what condition there exists a solution of —Δu +f (u) =0 in a domain Ω which blows-up on the boundary, independently of the regularity of the boundary, and we provide criteria for uniqueness. We apply our results to the case f(u) = e au .

Suggested Citation

  • Moshe Marcus & Laurent Véron, 2004. "Existence and uniqueness results for large solutions of general nonlinear elliptic equations," Springer Books, in: Wolfgang Arendt & Haïm Brézis & Michel Pierre (ed.), Nonlinear Evolution Equations and Related Topics, pages 637-652, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-7924-8_33
    DOI: 10.1007/978-3-0348-7924-8_33
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