Spontaneous bifurcation for the convective porous medium equation with a nonlinear source

DOI10.1016/0362-546X(93)90022-KzbMath0793.35040OpenAlexW2037648275MaRDI QIDQ4275619

Jeffrey R. Anderson

Publication date: 31 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90022-k

zbMATH Keywords

strong convectiondegenerate elliptic model problemtwo nontrivial nonnegative solutions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Bifurcations in context of PDEs (35B32) Higher-order elliptic equations (35J30)

Cites Work

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• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. II
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• Stability and Instability for Solutions of Burgers’ Equation with a Semilinear Boundary Condition
• Analysis of a Convective Reaction-Diffusion Equation II
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Analysis of a convective reaction-diffusion equation
• Continuity of solutions of a singular parabolic equation
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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