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Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation
Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144, USA
Mathematics 2024, 12(15), 2351; https://doi.org/10.3390/math12152351 (registering DOI)
Submission received: 1 July 2024
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Revised: 19 July 2024
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Accepted: 25 July 2024
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Published: 27 July 2024
(This article belongs to the Special Issue Advances in Differential and Difference Equations and Their Applications)
Abstract
We consider the p-Laplace boundary value problem with the Dirichlet boundary condition. A new lower estimate for positive solutions of the problem is obtained. As an application of this new lower estimate, some sufficient conditions for the existence and nonexistence of positive solutions for the p-Laplace problem are obtained.
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MDPI and ACS Style
Yang, B. Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation. Mathematics 2024, 12, 2351. https://doi.org/10.3390/math12152351
AMA Style
Yang B. Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation. Mathematics. 2024; 12(15):2351. https://doi.org/10.3390/math12152351
Chicago/Turabian StyleYang, Bo. 2024. "Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation" Mathematics 12, no. 15: 2351. https://doi.org/10.3390/math12152351
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