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Positive Solutions to a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions

Department of Mathematics, Birla Institute of Technology, Mesra, Ranchi – 835215, India

Department of Mathematics, Florida Gulf Coast University, Fortmyres, Florida 33965, USA

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

* Corresponding Author
Annals of Communications in Mathematics 2020
, 3 (1),
7-25.
https://doi.org/10.62072/acm.2020.030102
Received: 9 December 2019 |
Accepted: 30 January 2020 |
Published: 31 March 2020

Abstract

This paper is concerned with the existence of two nontrivial positive solutions to a class of boundary value problems involving a p-Laplacian of the form where Φp(x) = |x| p−2x is a one dimensional p-Laplacian operator with p > 1, a and b are real constants, and α and β are given by the Riemann-Stieltjes integrals with A and B functions of bounded variation. The approach used is based on fixed point index theory. The results obtained in this paper are new in the literature.

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Cite This Article

Positive Solutions to a Derivative Dependent p-Laplacian Equation with Riemann-Stieltjes Integral Boundary Conditions.

Annals of Communications in Mathematics,

2020,
3 (1):
7-25.
https://doi.org/10.62072/acm.2020.030102
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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