New Variational Principle and Duality for a Certain Class of Nonlinear Operator Equations

DOI10.1081/NFA-120039654zbMath1063.35013MaRDI QIDQ3157832

Marek Galewski

Publication date: 19 January 2005

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

zbMATH Keywords

duality theorynonlinear elliptic equationsEuler-Lagrange equation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Variational methods applied to PDEs (35A15) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Existence, stability and approximation of solutions for a certain class of nonlinear BVPs

Cites Work

• Critical point theory and Hamiltonian systems
• A new variational principle and duality for periodic solutions of Hamilton's equations
• New variational principle and duality for an abstract semilinear Dirichlet problem
• 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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