On the Singular Set of Certain Potential Operators in Hilbert Spaces

DOI10.1007/978-3-7643-8482-1_28zbMath1223.47055OpenAlexW2114471344MaRDI QIDQ3525270

Biagio Ricceri

Publication date: 12 September 2008

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8482-1_28

zbMATH Keywords

Dirichlet problemminimax theorempotential operatorsingular setnoncompactness result

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Applications of operator theory to differential and integral equations (47N20) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Optimality conditions for problems in abstract spaces (49K27) Potential operators (47G40)

Related Items (1)

Bifurcation for second-order Hamiltonian systems with periodic boundary conditions

Cites Work

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• Nonunique solvability of certain differential equations and their connection with geometric approximation theory
• On Infinite Dimensional Features of Proper and Closed Mappings
• On the Singularities of Nonlinear Fredholm Operators of Positive Index
• Nonlinear Fredholm Maps of Index Zero and Their Singularities
• A general multiplicity theorem for certain nonlinear equations in Hilbert spaces
• An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations
• An Infinite Dimensional Version of Sard's Theorem

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