Exact multiplicity of solutions to a diffusive logistic equation with harvesting

DOI10.1016/j.amc.2010.03.002zbMath1189.35105OpenAlexW2125709382MaRDI QIDQ972927

Junping Shi, Yu-Wen Wang, Ya-Nan Wang

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.002

zbMATH Keywords

semilinear elliptic equationdifferentiable mappingexact multiplicitysingular setordinary singular point

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates ⋮ Exact multiplicity of solutions for some semilinear Dirichlet problems ⋮ Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\) ⋮ Global solution curves in harmonic parameters, and multiplicity of solutions ⋮ Exact multiplicity of sign-changing solutions for a class of second-order Dirichlet boundary value problem with weight function

Cites Work

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• On the inversion of some differentiable mappings with singularities between Banach spaces
• Persistence and bifurcation of degenerate solutions
• Imperfect transcritical and pitchfork bifurcations
• Morse indices and exact multiplicity of solutions to semilinear elliptic problems
• Diffusive logistic equation with constant yield harvesting, I: Steady States

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