On the structure of unbounded positive solutions to the quasilinear logistic equation

DOI10.1016/j.na.2012.01.025zbMath1241.35082OpenAlexW1991632384MaRDI QIDQ413611

Nguyen Duy Thanh, Nguyen Bich Huy, Tran Dinh Thanh

Publication date: 7 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.025

zbMATH Keywords

global bifurcationlogistic equationunbounded solutionsequations in ordered spacesmonotone minorant

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (3)

Positive solutions of generalized nonlinear logistic equations via sub-super solutions ⋮ Positive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff term ⋮ Existence and multiplicity results for generalized logistic equations

Cites Work

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• Positive weak solutions for some semilinear elliptic equations
• On the structure of the positive solutions of the logistic equation with nonlinear diffusion
• Global continua of positive solutions for equations with nondifferentiable operators
• Some properties of higher order Sobolev spaces
• Nonnegative solutions for the degenerate logistic indefinite sublinear equation
• Bifurcation for some quasilinear operators
• Fixed Point Theory in Ordered Sets and Applications
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

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