The dual variational principle and discontinuos elliptic problems with strong resonance at infinity

DOI10.1016/0362-546X(90)90050-QzbMath0758.35033OpenAlexW2047276095MaRDI QIDQ3970939

David Arcoya, Antonio Cañada Villar

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90050-q

zbMATH Keywords

discontinuous nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Variational principles of physics (49S05)

Related Items (3)

A note on the existence of global minimum for a noncoercive functional ⋮ Nontrivial solutions for a multivalued problem with strong resonance ⋮ Multiple solutions for strongly resonant nonlinear elliptic problems with discontinuities

Cites Work

• Unnamed Item
• Periodic solutions of Hamiltonian systems with strong resonance at infinity
• Some discontinuous variational problems
• On the solvability of some elliptic partial differential equations with the linear part at resonance
• A duality principle for non-convex optimisation and the calculus of variations
• The dual variational principle and elliptic problems with discontinuous nonlinearities
• Critical point theorems and applications to nonlinear boundary value problems
• A boundary value problem with a periodic nonlinearity
• A Variational Method for Boundary Value Problems with Discontinuous Nonlinearities
• A Property of Solutions of Elliptic Differential Equations with Discontinuous Nonlinearities

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