Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions

DOI10.1007/s00030-018-0538-2zbMath1419.35050arXiv1704.03748OpenAlexW2963233963WikidataQ129272585 ScholiaQ129272585MaRDI QIDQ1729874

Marcos T. O. Pimenta, Giovany M. Figueiredo

Publication date: 28 February 2019

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03748

zbMATH Keywords

Nehari methodbounded variation solutions1-Laplacian1-biharmonic operator

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with mean curvature operator (35J93)

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Cites Work

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• Limiting Sobolev inequalities and the 1-biharmonic operator
• Higher-order functional inequalities related to the clamped 1-biharmonic operator
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• Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem
• Ground states of elliptic problems involving non homogeneous operators
• Variational Analysis in Sobolev andBVSpaces
• DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
• KATO'S INEQUALITY UP TO THE BOUNDARY
• THE SPECTRUM OF THE 1-LAPLACE OPERATOR
• The Euler Equation for Functionals with Linear Growth
• A New Approach to Lagrange Multipliers
• The eigenvalue problem for the 1-biharmonic operator
• Ground state and non-ground state solutions of some strongly coupled elliptic systems

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