Analysis of positive solutions for classes of Laplacian systems with sign change weight functions and nonlinear boundary conditions

We establish some results for positive solutions to class of Laplacian systems with positive parameter, sign change weight functions and nonlinear boundary conditions, in particular, we discuss the existence of positive solutions for a certain range of our parameter using the method of sub-super solutions. Additionally, we introduce novel conditions to ensure the existence of positive solutions for the given system.

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Publication Details

Journal
Results in Applied Mathematics
Published
2024-12-12
DOI
https://doi.org/10.1016/j.rinam.2024.100525
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Analysis of positive solutions for classes of Laplacian systems with sign change weight functions and nonlinear boundary conditions

S. H. Rasouli, A. Shabanpour
Results in Applied Mathematics
Advanced Mathematical Modeling in Engineering
article

Analysis of positive solutions for classes of Laplacian systems with sign change weight functions and nonlinear boundary conditions

S. H. Rasouli, A. Shabanpour
article en

Abstract

We establish some results for positive solutions to class of Laplacian systems with positive parameter, sign change weight functions and nonlinear boundary conditions, in particular, we discuss the existence of positive solutions for a certain range of our parameter using the method of sub-super solutions. Additionally, we introduce novel conditions to ensure the existence of positive solutions for the given system.

Results in Applied MathematicsVol. 25
Babol Noshirvani University of Technology (IR)
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Openalex Percentile: Top 73%
Advanced Mathematical Modeling in Engineering
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