Asymptotic behavior of degenerate logistic equations

DOI10.1016/j.jde.2015.07.028zbMath1321.35096OpenAlexW1105410003MaRDI QIDQ496747

José M. Arrieta, Rosa Pardo San Gil, Aníbal Rodgriguez-Bernal

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.07.028

zbMATH Keywords

asymptotic behaviorboundednessfractal dimensionblow upnon-smooth setslogistic nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Semilinear parabolic equations (35K58)

Related Items (1)

On positive solutions for a class of quasilinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
• Spectral optimization problems
• On the inequality \(\Delta u \geqq f (u)\)
• Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates
• Extremal equilibria for reaction-diffusion equations in bounded domains and applications
• First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
• Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
• Infinite-dimensional dynamical systems in mechanics and physics.
• Semi-linear second-order elliptic equations in \(L^1\)
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• The fractal Dirichlet Laplacian
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• On solutions of δu=f(u)
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Continuous dependence of eigenvalues on the domain
• Some limit cases of L^p‐estimates for solutions of second order elliptic equations
• On the solvability and stability of the Dirichlet problem
• Sub- and super-solutions in bifurcation problems
• On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems

This page was built for publication: Asymptotic behavior of degenerate logistic equations