Linking solutions for p-Laplace equations with nonlinearity at critical growth

Marco Degiovanni, Sergio Lancelotti

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

Under a suitable condition on n and p, the quasilinear equation at critical growth -\Delta_p u=\lambda |u|^{p-2}u + |u|^{p^*-2} u is shown to admit a nontrivial weak solution u in W^{1,p}_0(\Omega) for any \lambda\geq\lambda_1. Nonstandard linking structures, for the associated functional, are recognized.
Original languageEnglish
Pages (from-to)3643-3659
Number of pages17
JournalJournal of Functional Analysis
Volume256
DOIs
Publication statusPublished - 2009

Keywords

  • Critical point theory
  • Differential equations
  • Equazioni differenziali
  • Teoria dei punti critici

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