Liouville theorems, universal estimates and periodic solutions for cooperative parabolic Lotka-Volterra systems

DOI10.1016/j.jde.2015.10.035OpenAlexW2963442830MaRDI QIDQ898566

Pavol Quittner

Publication date: 18 December 2015

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

Full work available at URL: https://arxiv.org/abs/1504.07031

zbMATH Keywords

periodic solutionsa priori estimatesblow-upLotka-Volterra systemsparabolicLiouville-type theorems

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (12)

Liouville theorem and a priori estimates of radial solutions for a non-cooperative elliptic system ⋮ A Liouville-type theorem for the 3-dimensional parabolic Gross-Pitaevskii and related systems ⋮ Blow-up set of type I blowing up solutions for nonlinear parabolic systems ⋮ Liouville-type theorem of positive periodic solutions for the periodic parabolic system ⋮ Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems ⋮ Threshold dynamics of a cooperation–diffusion–advection model in open advective environments ⋮ Optimal Liouville-type theorems for a system of parabolic inequalities ⋮ Liouville-Type Theorems for Nonlinear Elliptic and Parabolic Problems ⋮ Sobolev hyperbola for the periodic parabolic Lane–Emden system ⋮ Uniqueness and nondegeneracy of positive solutions to an elliptic system in ecology ⋮ A note on the existence of time periodic solution of a superlinear heat equation ⋮ Periodic solutions of a phase-field model with hysteresis

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