An application of singularity theory to nonlinear differentiable mappings between Banach spaces

DOI10.1016/0362-546X(87)90108-8zbMath0635.47053OpenAlexW2019328338MaRDI QIDQ3774420

Fulvio Lazzeri, Anna Maria Micheletti

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90108-8

zbMATH Keywords

Banach spacessingular pointsfold pointsasymptotically linear at infinitynonlinear operatorscusp pointsfunction defining nonlinear operatorlocal behaviour of operatornumber of local solutions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05)

Related Items

Multiple solutions for some semilinear elliptic equations ⋮ Unnamed Item ⋮ The Structure of a Nonlinear Elliptic Operator ⋮ Singularities in Quasi‐Banach Spaces with Applications to Semilinear Elliptic Equations I ⋮ On the number of solutions of some ordinary periodic boundary value problems by their geometrical properties ⋮ Global cusp maps in differential and integral equations ⋮ Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

• Singularity theory and an introduction to catastrophe theory
• Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II
• NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY
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