Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms

• Deke Wu ^[2] ; Hongmin Suo ^[1] ; Jun Lei ^[1]
  1. [1] Guizhou Minzu University

     Guizhou Minzu University

     China

     
  2. [2] Guiyang Institute of Information Science and Technology
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
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• Resumen

  • We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a ball. By employing the Nehari method and Lusternik–Schnirelmann category theory to an auxiliary problems, we note that there is a relationship between the number of maxima in the coefficient function of the critical term and the number of positive solutions for the problems.