Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with indefinite weights

DOI10.1016/j.jmaa.2020.123961zbMath1435.35026OpenAlexW3006458959MaRDI QIDQ2306221

Inmaculada Antón, Julián López-Gómez, David Aleja

Publication date: 20 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123961

zbMATH Keywords

positive solutionsperiodic-parabolic problemsgeneralized logistic equationsindefinite weight functionsnon-classical mixed boundary conditions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58)

Related Items (5)

Unnamed Item ⋮ Protection zones in periodic-parabolic problems ⋮ Fine patterns for a nonlocal periodic-parabolic equation with spatial degeneracy ⋮ A spatially heterogeneous predator-prey model ⋮ Characterizing the existence of positive periodic solutions in the weighted periodic-parabolic degenerate logistic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some paradoxical effects of the advection on a class of diffusive equations in ecology
• Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
• Algebraic multiplicity of eigenvalues of linear operators
• A theorem on elliptic differential inequalities with an application to gradient bounds
• Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
• A priori bounds and multiple solutions for superlinear indefinite elliptic problems
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions
• Classifying smooth supersolutions for a general class of elliptic boundary value problems.
• Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems
• Global dynamics of generalized logistic equations
• Approaching metasolutions by solutions .
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation
• Bifurcation from simple eigenvalues
• The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions
• The periodic logistic equation with spatial and temporal degeneracies
• Global bifurcation for Fredholm operators
• Principal eigenvalues of weighted periodic-parabolic problems
• On the principal eigenvalue of a periodic-parabolic operator
• Linear Second Order Elliptic Operators
• Counting Zeros of C ¹ Fredholm Maps of Index 1
• Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.

This page was built for publication: Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with indefinite weights