Steady state solutions of a logistic equation with nonlinear boundary conditions

DOI10.1216/RMJ-2011-41-2-445zbMath1220.35057MaRDI QIDQ533520

Chris Cosner, Robert Stephen Cantrell, Salomé Martínez

Publication date: 3 May 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

positive solutionsteady state solutionslogistic equationmultiple equilibria.

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

• On the effects of nonlinear boundary conditions in diffusive logistic equations on bounded domains
• Global bifurcation results for semilinear elliptic boundary value problems with indefinite weights and nonlinear boundary conditions
• Density dependent behavior at habitat boundaries and the Allee effect
• Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions
• Some semi-linear parabolic equations with nonlinear flux boundary conditions
• Global positive solution branches of positone problems with nonlinear boundary conditions
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