Four Solutions for Fractional p-Laplacian Equations with Asymmetric Reactions

Roberto Livrea, Antonio Iannizzotto

Risultato della ricerca: Articlepeer review

Abstract

We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, whose reaction combines a sublinear term depending on a positive parameter and an asymmetric perturbation (superlinear at positive infinity, at most linear at negative infinity). By means of critical point theory and Morse theory, we prove that, for small enough values of the parameter, such problem admits at least four nontrivial solutions: two positive, one negative, and one nodal. As a tool, we prove a Brezis-Oswald type comparison result.
Lingua originaleEnglish
pagine (da-a)1-32
Numero di pagine32
RivistaMediterranean Journal of Mathematics
Volume18
Stato di pubblicazionePublished - 2021

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