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An alternative proof of the mountain pass theorem for a class of functionals

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Publication:377754
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DOI10.1007/s10898-012-0001-6zbMath1282.35013OpenAlexW1967398524MaRDI QIDQ377754

Marcelo Montenegro, Adilson Eduardo Presoto

Publication date: 7 November 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-012-0001-6


zbMATH Keywords

critical pointsEkeland variational principle


Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)




Cites Work

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  • Superlinear elliptic boundary value problems with rotational symmetry
  • Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
  • On the variational principle
  • Minimax theorems
  • Dual variational methods in critical point theory and applications
  • On a Class of Nonlinear Second-Order Differential Equations
  • A Short Proof of the Variational Principle for Approximate Solutions of a Minimization Problem
  • A Prescribed Mean Curvature Problem on Domains without Radial Symmetry
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