On Fractional p-Laplacian Equations at Resonance

This article shows the existence of weak solutions of a resonant problem for a fractional p -Laplacian equation in a bounded domain in R N . Our arguments are based on the Minimum principle, saddle point theorem and rely on a generalization of the Landesman–Lazer-type condition.

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Published in:Bulletin of the Malaysian Mathematical Sciences Society 2020-03, Vol.43 (2), p.1273-1288
Main Authors: Hung, Bui Quoc, Toan, Hoang Quoc
Format: Article
Language:English
Subjects:
Applications of Mathematics
Laplace equation
Mathematics
Mathematics and Statistics
Saddle points
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Toan, Hoang Quoc
description This article shows the existence of weak solutions of a resonant problem for a fractional p -Laplacian equation in a bounded domain in R N . Our arguments are based on the Minimum principle, saddle point theorem and rely on a generalization of the Landesman–Lazer-type condition.
doi_str_mv 10.1007/s40840-019-00740-w
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subjects Applications of Mathematics
Laplace equation
Mathematics
Mathematics and Statistics
Saddle points
title On Fractional p-Laplacian Equations at Resonance
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