Positive solutions for logistic type quasilinear elliptic equations on \(\mathbb{R}^{N}\).

DOI10.1016/j.jmaa.2003.10.034zbMath1290.35118OpenAlexW2041893621MaRDI QIDQ1428238

Wei Dong

Publication date: 14 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.034

zbMATH Keywords

asymptotic behaviorlogistic equationboundary blow-up solution

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62)

Related Items (12)

On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment ⋮ Uniqueness of boundary blow-up solutions on exterior domain of \(\mathbb R^N\) ⋮ ``A priori estimates, uniqueness and existence of positive solutions of Yamabe type equations on complete manifolds ⋮ Uniqueness and existence of positive solutions for degenerate logistic type elliptic equations on \(\mathbb R^N\) ⋮ Blow-up solutions of semilinear parabolic equations on unbounded domains of \(R^N\) ⋮ Uniqueness of boundary blow-up solutions on unbounded domain of \(\mathbb R^N\) ⋮ The spreading front of invasive species in favorable habitat or unfavorable habitat ⋮ The diffusive logistic equation with a free boundary and sign-changing coefficient ⋮ A reaction-diffusion-advection logistic model with a free boundary in heterogeneous environment ⋮ The diffusive farmers and hunter-gatherers model with a free boundary in a heterogeneous environment ⋮ Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potentials ⋮ Remarks on the uniqueness problem for the logistic equation on the entire space

Cites Work

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• Regularity for a more general class of quasilinear equations
• On a diffusive logistic equation
• Liouville type results and eventual flatness of positive solutions for \(p\)-Laplacian equations.
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\)
• LOGISTIC TYPE EQUATIONS ON ℝ^N BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
• On The Dirichletproblem for Quasilinear Equations
• Unbounded principal eigenfunctions and the logistic equation on R^N

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