LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS

From MaRDI portal
Publication:3151036

DOI10.1017/S0024610701002289zbMath1018.35045OpenAlexW1984943284MaRDI QIDQ3151036

Li Ma, Yihong Du

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0024610701002289




Related Items (only showing first 100 items - show all)

Some remarks on Liouville type results for quasilinear elliptic equationsPositive solutions of a logistic equation on unbounded intervalsSome remarks related to De Giorgi’s conjectureTwo-phase problem with a free boundary for systems of parabolic equations with a nonlinear term of convectionDynamics of a Leslie-Gower predator-prey model with advection and free boundariesA climate shift model with free boundary: enhanced invasionBlow-up solutions of semilinear parabolic equations on unbounded domains of \(R^N\)Existence and uniqueness of solution for a singular elliptic differential equationPositive solutions for a class of elliptic equationsLiouville type results for a class of quasilinear parabolic problemsUnbounded principal eigenfunctions and the logistic equation on RNUniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potentialsRemarks on the uniqueness problem for the logistic equation on the entire spaceBoundary behavior of positive solutions to nonlinear elliptic equations with Hardy potentialBifurcation and stability of solutions to a logistic equation with harvestingASYMPTOTIC BEHAVIOR FOR RADIALLY SYMMETRIC SOLUTIONS OF A LOGISTIC EQUATION WITH A FREE BOUNDARYSpreading under shifting climate by a free boundary model: Invasion of deteriorated environmentBoundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditionsThe diffusive logistic model with a free boundary in a heterogeneous time-periodic environmentSymmetry for boundary blow up solutions of elliptic equations in a half-spaceA diffusive stage-structured model with a free boundaryA diffusive predator-prey model in heterogeneous environmentAllee effect and bistability in a spatially heterogeneous predator-prey modelA reaction-diffusion-advection equation with a free boundary and sign-changing coefficientNondegeneracy and uniqueness for boundary blow-up elliptic problemsMultiplicity of positive solutions for an indefinite superlinear elliptic problem on \(\mathbb R^N\).A heterogeneous diffusive logistic model with constant yield harvesting in \(\mathbb{R}^N\) under strong growth rateUniqueness and layer analysis for boundary blow up solutionsA free boundary problem with a Stefan condition for a ratio-dependent predator-prey modelA SIS reaction-diffusion model with a free boundary condition and nonhomogeneous coefficientsSpreading-vanishing dichotomy in information diffusion in online social networks with interventionA reaction-diffusion-advection free boundary problem for a two-species competition systemFisher-KPP equation with Robin boundary conditions on the real half lineSIS reaction-diffusion model with risk-induced dispersal under free boundaryEffects of a degeneracy in a diffusive predator-prey model with Holling II functional responseOn a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environmentSpatial degeneracy vs functional responseA diffusive predator-prey model with a protection zoneA free boundary problem of the ratio-dependent prey-predator modelUniqueness of boundary blow-up solutions on exterior domain of \(\mathbb R^N\)On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of \textit{Aedes albopictus} and \textit{Aedes aegypti} mosquitoesBiased movement and the ideal free distribution in some free boundary problems``A priori estimates, uniqueness and existence of positive solutions of Yamabe type equations on complete manifoldsSome results on subelliptic equationsA free boundary problem for the predator-prey model with double free boundariesUniqueness and existence of positive solutions for degenerate logistic type elliptic equations on \(\mathbb R^N\)A free boundary problem for spreading under shifting climateOn a free boundary problem for a two-species weak competition systemThe selection for dispersal: a diffusive competition model with a free boundaryA diffusive logistic problem with a free boundary in time-periodic environment: favorable habitat or unfavorable habitatUniversal bound for global solution of nonlinear heat equationHeat flow method for Lichnerowicz type equations on closed manifoldsNon-local heat flows and gradient estimates on closed manifoldsRealization of prescribed patterns in the competition model.The first and second expansion of large solutions for quasilinear elliptic equations with weight functionsUniqueness of boundary blow-up solutions on unbounded domain of \(\mathbb R^N\)The Stefan problem for the Fisher-KPP equationBoundary blow-up solutions and their applications in quasilinear elliptic equationsStationary patterns of a prey-predator system with a protection zone and cross-diffusion of fractional typeEffect of cross-diffusion in the diffusion prey-predator model with a protection zone. IIA diffusive logistic model with a free boundary in time-periodic environmentUniqueness and asymptotic behavior of positive solution of quasilinear elliptic equations with Hardy potentialA logistic type equation in \(\mathbb{R}^N\) with a nonlocal reaction term via bifurcation methodThe diffusive logistic model with a free boundary in heterogeneous environmentAsymptotic profile of species migrating on a growing habitatThe spreading front of invasive species in favorable habitat or unfavorable habitatInvasion by an inferior or superior competitor: a diffusive competition model with a free boundary in a heterogeneous environmentPositive solutions for logistic type quasilinear elliptic equations on \(\mathbb{R}^{N}\).On bounded positive stationary solutions for a nonlocal Fisher-KPP equationThe diffusive competition model with a free boundary: invasion of a superior or inferior competitorQualitative analysis of steady states to the Sel'kov modelSpreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear termExistence and non-existence results for a logistic-type equation on manifoldsDynamics for a nonlocal reaction-diffusion population model with a free boundaryA viral propagation model with a nonlinear infection rate and free boundariesThe diffusive competition problem with a free boundary in heterogeneous time-periodic environmentLong time behavior for solutions of the diffusive logistic equation with advection and free boundaryFractional generalized logistic equations with indefinite weight: quantitative and geometric propertiesExact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potentialSpreading of two competing species governed by a free boundary model in a shifting environmentA weak competition system with advection and free boundariesExistence and uniqueness of positive solutions for a class of logistic type elliptic equations in \(\mathbb{R}^N\) involving fractional LaplacianSemi-wave and spreading speed for the diffusive competition model with a free boundarySpreading with two speeds and mass segregation in a diffusive competition system with free boundariesSpreading in a shifting environment modeled by the diffusive logistic equation with a free boundaryAsymptotic profile of the solution to a free boundary problem arising in a shifting climate modelA two-species weak competition system of reaction-diffusion-advection with double free boundariesOn a free boundary problem for a nonlocal reaction-diffusion modelMultiplicity of positive solution for an indefinite elliptic equation on \(\mathbb R^2\) with exponential nonlinearitiesSpreading-vanishing dichotomy in a diffusive logistic model with a free boundary, IIA Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifoldsA priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalitiesStructure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutionsPositive solutions for a Lotka-Volterra prey-predator model with cross-diffusion of fractional typeBoundary blow-up rates of large solutions for elliptic equations with convection termsA non-local perturbation of the logistic equation in \(\mathbb{R}^N\)Multiple solutions for an indefinite superlinear elliptic problem on \(\mathbb R^N\)A free boundary problem of a predator-prey model with a nonlocal reaction termExact behavior of positive solutions to elliptic equations with multi-singular inverse square potentialsDynamics for a two-species competitive Keller-Segel chemotaxis system with a free boundary




This page was built for publication: LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS