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Spike Patterns in the Super-Critical Bahri—Coron Problem

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Variational and Topological Methods in the Study of Nonlinear Phenomena

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 49))

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Abstract

This paper deals with the construction of solutions of the problem

$$\left\{ {\begin{array}{*{20}{l}} { - \Delta u = {u^{\tfrac{{N + 2}}{{N - 2}} + \varepsilon }}}&{in \Omega } \\ {u > 0}&{in \Omega } \\ {u = 0}&{on \partial \Omega } \end{array}} \right.$$
(1.1)

where Ω is a smooth, bounded domain in ℝN, N ≥ 3, and ε > 0 is a small parameter.

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Author information

Authors and Affiliations

  1. Departamento de Ingeniería Matemática Centro de Modelamiento Matemático, Universidad de Chile, Casilla 170 Correo 3, Santiago, CHILE

    M. del Pino & P. Felmer

  2. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Torino, ITALY

    M. Musso

Authors
  1. M. del Pino
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  2. P. Felmer
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  3. M. Musso
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica Applicata, Universita di Pisa, Pisa, 56126, Italy

    V. Benci  & A. M. Micheletti  & 

  2. Dipartimento di Matematica ed Applicazioni, Universita di Palermo, Palermo, 90123, Italy

    G. Cerami

  3. Dipartimento di Matematica e Fisica, Universita Cattolica del Sacro Cuore, Brescia, 25121, Italy

    M. Degiovanni

  4. Dipartimento Interuniversitario di Matematica, Universita di Bari, Bari, 70125, Italy

    D. Fortunato

  5. Dipartimento di Matematica e Fisica, Universita di Camerino, Camerino, 62032, Italy

    F. Giannoni

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del Pino, M., Felmer, P., Musso, M. (2002). Spike Patterns in the Super-Critical Bahri—Coron Problem. In: Benci, V., Cerami, G., Degiovanni, M., Fortunato, D., Giannoni, F., Micheletti, A.M. (eds) Variational and Topological Methods in the Study of Nonlinear Phenomena. Progress in Nonlinear Differential Equations and Their Applications, vol 49. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0081-9_7

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  • DOI: https://doi.org/10.1007/978-1-4612-0081-9_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6604-4

  • Online ISBN: 978-1-4612-0081-9

  • eBook Packages: Springer Book Archive

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