GROUND STATE SOLUTIONS FOR FRACTIONAL KIRCHHOFF TYPE EQUATIONS WITH CRITICAL GROWTH

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Abstract

We study the nonlinear fractional Kirchhoff problem (Formula Presented), where a, b > 0 are constants, (Formula Presented) is the fractional Laplacian. Under some relaxed assumptions on f, we prove the existence of ground state solutions.

Original languageEnglish
Article number10
JournalElectronic Journal of Differential Equations
Volume2024
DOIs
StatePublished - 2024

Keywords

  • Ground state solution
  • critical exponent
  • fractional Kirchhoff equation

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