A three solution theorem for a singular differential equation with nonlinear boundary conditions

DOI10.12775/TMNA.2019.044zbMath1441.34040OpenAlexW2969974106WikidataQ115239563 ScholiaQ115239563MaRDI QIDQ2178763

Byungjae Son, R. Dhanya, Ratnasingham Shivaji

Publication date: 11 May 2020

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1564365635

zbMATH Keywords

nonlinear boundary conditionssingular boundary value problemthree solution theorem

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition ⋮ Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type ⋮ Unnamed Item ⋮ Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions ⋮ Positive radial solutions to singular nonlinear elliptic problems involving nonhomogeneous operators

Cites Work

• Positive radial solutions for elliptic equations on exterior domains with nonlinear boundary conditions
• A three solution theorem for singular nonlinear elliptic boundary value problems
• S-shaped bifurcation curves in ecosystems
• Population models with diffusion, strong Allee effect, and nonlinear boundary conditions
• Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball
• Positive radial solutions to classes of singular problems on the exterior domain of a ball
• Density dependent behavior at habitat boundaries and the Allee effect
• S-shaped bifurcation curves
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Spatial Ecology via Reaction‐Diffusion Equations
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