Existence and stability of Solutions for Nonlinear Abstract Equations

DOI10.1080/01630560701381013zbMath1123.35002OpenAlexW2113868297MaRDI QIDQ5297953

Marek Galewski

Publication date: 16 July 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701381013

zbMATH Keywords

stabilityexistencedualityvariational methodnonlinear monotone operatorGelfand triple

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Variational methods applied to PDEs (35A15)

Cites Work

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• A new variational principle and duality for periodic solutions of Hamilton's equations
• Stability in semilinear problems
• New variational principle and duality for an abstract semilinear Dirichlet problem
• On a Certain Generalization of the Krasnosel'skii Theorem
• Some existence results for a class of nonlinear equations involving a duality mapping
• On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities

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