The singular perturbation problem for a class of generalized logistic equations under non-classical mixed boundary conditions

DOI10.1515/ans-2018-2034zbMath1415.35016OpenAlexW2912121431WikidataQ128490519 ScholiaQ128490519MaRDI QIDQ2631651

Sergio Fernández-Rincón, Julián López-Gómez

Publication date: 15 May 2019

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/54730/1/fernandez_rincon_01.pdf

zbMATH Keywords

conormal distanceconormal projectionconormal vector field

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (7)

Oscillatory bifurcation problems for ODEs with logarithmic nonlinearity ⋮ A robust multiplicity result in a generalized diffusive predator-prey model ⋮ Solution components in a degenerate weighted BVP ⋮ The Picone identity: a device to get optimal uniqueness results and global dynamics in population dynamics ⋮ A spatially heterogeneous predator-prey model ⋮ Non-local degenerate diffusion coefficients break down the components of positive solutions ⋮ Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with indefinite weights

Cites Work

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• A singular perturbation result in competition theory
• Semilinear elliptic boundary value problems with small parameters
• Boundary and interior layer behavior of solutions of some singularly perturbed semilinear elliptic boundary value problems
• Semilinear elliptic singular perturbation problems with nonuniform interior behavior
• An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles
• Uniqueness of the solution of a semilinear boundary value problem
• Distance to \(C^k\) hypersurfaces
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Robin and Neumann problems for a class of singularly perturbed semilinear elliptic equations
• A priori bounds and multiple solutions for superlinear indefinite elliptic problems
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• On the structure of the permanence region for competing species models with general diffusivities and transport effects
• Spatially heterogeneous Lotka-Volterra competition
• 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
• Spatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species models
• The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
• A Uniform Asymptotic Expansion of the Positive Solution of a Non-Linear Dirichlet Problem
• Shorter Notes: Regularity of the Distance Function
• Perturbed elliptic problems with essential nonlinearities
• Singularly perturbed semilinear elliptic boundary value problems
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Elliptic Partial Differential Equations of Second Order
• Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
• Linear Second Order Elliptic Operators
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.

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