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Radial Solutions of¶Superlinear Equations on ℝN¶Part I: Global Variational Approach

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Abstract

We present a global variational approach to the search for multiple nodal solutions u∈H 1(ℝN) to a class of elliptic equations of type¶−Δu(x)=f(|x|,u(x)), x∈ℝN,¶where N≧ 2, f is superlinear and subcritical, and f(|x|≡0.

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Authors and Affiliations

  1. Dipartimento di Matematica¶del Politecnico di Milano¶Piazza Leonardo da Vinci, 32¶Milano (Italy)¶e-mail: monica@mate.polimi.it; suster@mate.polimi.it, , , , , , IT

    Monica Conti & Susanna Terracini

  2. Dipartimento di Matematica¶dell'Università di Milano¶Via Saldini, 50¶Milano (Italy)¶e-mail: merizzi@vmimat.mat.unimi.it, , , , , , IT

    Luca Merizzi

Authors
  1. Monica Conti
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  2. Luca Merizzi
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  3. Susanna Terracini
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Accepted January 15, 2000¶Published online July 12, 2000

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Conti, M., Merizzi, L. & Terracini, S. Radial Solutions of¶Superlinear Equations on ℝN¶Part I: Global Variational Approach. Arch. Rational Mech. Anal. 153, 291–316 (2000). https://doi.org/10.1007/s002050050015

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  • DOI: https://doi.org/10.1007/s002050050015

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