Variation of the instability index on stationary curves of elliptic equations depending on a parameter

DOI10.1007/BF01102995zbMath0689.35005OpenAlexW2077331840MaRDI QIDQ581730

Mark I. Vishik, Anatoli V. Babin

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01102995

zbMATH Keywords

turning pointssmooth curvesinstability indexEstimatesgeneric equation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

Related Items (1)

The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity

Cites Work

• Unnamed Item
• Regular attractors of semigroups and evolution equations
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Stability of bifurcating solutions by Leray-Schauder degree
• Attractors of partial differential evolution equations and estimates of their dimension
• An Infinite Dimensional Version of Sard's Theorem

This page was built for publication: Variation of the instability index on stationary curves of elliptic equations depending on a parameter