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

Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\Big)$.

Manylion Llyfryddiaeth

Prif Awduron:	C. Bereanu, Petru Jebelean, Calin-Constantin Serban
Fformat:	Artigo
Iaith:	Inglês
Cyhoeddwyd:	University of Szeged 2015-07-01
Cyfres:	Electronic Journal of Qualitative Theory of Differential Equations
Pynciau:	nonsmooth critical point theory discontinuous dirichlet problem mean curvature operator palais-smale condition
Mynediad Ar-lein:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4029
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