Bifurcation and stability of radially symmetric equilibria of a parabolic equation with variable diffusion

DOI10.1016/0022-0396(89)90158-7zbMath0674.35006OpenAlexW2002470675MaRDI QIDQ1121435

Arnaldo Simal do Nascimento

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90158-7

zbMATH Keywords

stabilitymaximum principlebifurcationradially symmetric solutionssemilinearconcave type nonlinearityradially symmetric equilibria

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Geometric theory, characteristics, transformations in context of PDEs (35A30) Bifurcations in context of PDEs (35B32)

Related Items (5)

Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients ⋮ Bifurcation in a spherical reaction-diffusion system with imposed gradient ⋮ Stability results for a reaction-diffusion problem with mixed boundary conditions and applications to some symmetric cases ⋮ Sturm attractors for quasilinear parabolic equations with singular coefficients ⋮ On the weakly degenerate Allen-Cahn equation

Cites Work

• Geometric theory of semilinear parabolic equations
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Stability of stationary distributions in a space-dependent population growth process
• Bifurcations in a parabolic equation with variable diffusion
• Stable equilibria with variable diffusion
• Bifurcation of radially symmetric equilibria of a parabolic equation
• Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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