Normally solvable nonlinear mappings in Banach spaces and their homotopies

DOI10.1016/0022-1236(74)90051-2zbMath0304.47053OpenAlexW2037223868MaRDI QIDQ1216841

Felix E. Browder

Publication date: 1974

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90051-2

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Degree, winding number (55M25)

Related Items (3)

A nonlinear neutron transport initial value problem ⋮ Nonlinear mapping theory and the continuation of solutions of equations under homotopy ⋮ A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball

Cites Work

• Normal solvability and the Fredholm alternative for mappings into infinite dimensional manifolds
• On the Fredholm alternative for nonlinear operators
• Normal solvability for nonlinear mappings into Banach spaces
• Normal solvability and 𝜙-accretive mappings of Banach spaces
• VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER
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