Positive solutions of the Dirichlet problem for the prescribed mean curvature equation

93 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space (2013, methodology): “We note that a variational approach has been also employed in [28] to prove various existence and multiplicity results concerning positive solutions of Dirichlet problems with mean curvature operators in the Euclidean space.”
Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space (2013, unknown): “Our results should be compared with similar ones obtained in [8] for a class of semilinear problems, in [9] and in [14] for a class of quasilinear problems driven by the p-Laplace operator and the mean curvature operator in Euclidean space, respectively.”
Uniqueness (2021, unknown): “We remark that the existence of small C 1 -solutions was proved in the one-dimensional case in [20, 44] and the existence of small solutions in higher dimensions in [67].”