Uniqueness and existence of positive solutions for degenerate logistic type elliptic equations on \(\mathbb R^N\)

DOI10.1016/J.NA.2006.07.009zbMath1131.35009OpenAlexW1987597917MaRDI QIDQ884506

Wei Dong, Li Shan Liu

Publication date: 6 June 2007

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.2006.07.009

zbMATH Keywords

boundary blow-up solutionsthe first eigenvaluedegenerate logistic type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15)

Related Items (4)

Spreading-vanishing dichotomy in a degenerate logistic model with general logistic nonlinear term ⋮ Boundary behavior of solutions for the degenerate logistic type elliptic problem with boundary blow-up ⋮ Extremal and sign-changing solutions of supercritical logistic-type equations in \(\mathbb {R}^N\) ⋮ Uniqueness and local properties of positive solutions to a semilinear elliptic equation with singular potentials

Cites Work

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• EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds
• Unbounded principal eigenfunctions and the logistic equation on R^N
• Remarks on the uniqueness problem for the logistic equation on the entire space

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