Open Journal of Mathematical Analysis
Vol. 8 (2024), Issue 1, pp. 76 – 79
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2024.0136
A direct proof of stability of nonnegative weak solution for fractional \(\mathbf{p}\)-Laplacian problem with concave nonlinearity
Salah A. Khafagy\(^{1,*}\)
\(^{1}\) Department of Mathematics, Royal University of Phnom Penh, Phnom Penh, Cambodia.
Copyright © 2024 Salah A. Khafagy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: April 20, 2024 – Accepted: May 8, 2024 – Published: June 30, 2024
Abstract
The present paper provides a direct proof of stability of nontrivial nonnegative weak solution for fractional \(p\)-Laplacian problem under concave nonlinearity condition. The main results of this work are extend the previously known results for the fractional Laplacian problem.
Keywords:
Stability; weak solution; fractional \(p\)-Laplacian