Existence of Two Positive Solutions for Two Kinds of Fractional p-Laplacian Equations

Existence of Two Positive Solutions for Two Kinds of Fractional p-Laplacian Equations

The aim of this paper is to investigate the existence of two positive solutions to subcritical and critical fractional integro-differential equations driven by a nonlocal operator LKp. Specifically, we get multiple solutions to the following fractional p-Laplacian equations with the help of fibering...

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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-9
Hauptverfasser: Wu, Yong, Taarabti, Said
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Laplace equation
Mathematical analysis
Operators (mathematics)
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Zusammenfassung:The aim of this paper is to investigate the existence of two positive solutions to subcritical and critical fractional integro-differential equations driven by a nonlocal operator LKp. Specifically, we get multiple solutions to the following fractional p-Laplacian equations with the help of fibering maps and Nehari manifold. −Δpsux=λuq+ur,u>0 in Ω,u=0,in ℝN\Ω.. Our results extend the previous results in some respects.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5572645