The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space

DOI10.14232/EJQTDE.2015.1.35zbMath1363.35144arXiv1502.00534OpenAlexW2963674165MaRDI QIDQ2803162

Petru Jebelean, Cristian Bereanu, Călin Şerban

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00534

zbMATH Keywords

Palais-Smale conditionnonsmooth critical point theorymean curvature operatordiscontinuous Dirichlet problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (5)

Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations ⋮ A unified variational approach to discontinuous differential equations ⋮ Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space ⋮ Heteroclinic solutions of singular quasilinear bistable equations ⋮ Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms

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