Observations on global inversion theorems

DOI10.4171/RLM/584zbMath1217.47106MaRDI QIDQ545892

Antonio Ambrosetti

Publication date: 23 June 2011

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

elliptic equationssingularity theoryinverse mappingglobal inversionlocal inversion

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (3)

Ambrosetti-Prodi type result to a Neumann problem via a topological approach ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Ambrosetti-Prodi periodic problem under local coercivity conditions

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Forced secondary bifurcation in an elliptic boundary value problem
• Critical superlinear Ambrosetti-Prodi problems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• On two problems studied by A. Ambrosetti
• A multiplicity result for a class of elliptic boundary value problems
• A Variational approach to superlinear elliptic problems
• Sharp nonuniqueness results for some nonlinear problems
• The Ambrosetti–Prodi Problem for thep-Laplace Operator

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