\(\Sigma\)-shaped bifurcation curves

DOI10.1515/ANONA-2020-0180zbMath1472.35190OpenAlexW4214724975MaRDI QIDQ2043776

A. Acharya, J. Quiroa, Nalin Fonseka, Ratnasingham Shivaji

Publication date: 3 August 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0180

zbMATH Keywords

existence of positive solutionssemilinear equation with Laplacianbaundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Diffusion-driven instability of both the equilibrium solution and the periodic solutions for the diffusive sporns-seelig model ⋮ \( \Sigma \)-shaped bifurcation curves for classes of elliptic systems

Cites Work

• Unnamed Item
• An ecological model with a \(\Sigma\)-shaped bifurcation curve
• S-shaped bifurcation curves in ecosystems
• Existence results for classes of sublinear semipositone problems
• Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence
• An exact bifurcation diagram for a reaction-diffusion equation arising in population dynamics
• Singular reaction diffusion equations where a parameter influences the reaction term and the boundary conditions
• The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
• Multiple positive solutions for classes of \(p\)-Laplacian equations.
• Classes of reaction diffusion equations where a parameter influences the equation as well as the boundary condition
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

This page was built for publication: \(\Sigma\)-shaped bifurcation curves