caa a22 4500 606194029 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00030-014-0290-1 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0290-1 Cirant Marco Dipartimento di Matematica, Università di Padova, Via Trieste, 63, 35121, Padova, Italy aut The Dirichlet problem for prescribed principal curvature equations [Elektronische Daten] [Marco Cirant] In this paper the Dirichlet problem for the equation which prescribes the ith principal curvature of the graph of a function u is considered. A Comparison principle is obtained within the class of semiconvex subsolutions by a local perturbation procedure combined with a fine Lipschitz estimate on the elliptic operator. Existence of solutions is stated for the Dirichlet problem with boundary conditions in the viscosity sense; further assumptions guarantee that no loss of boundary data occurs. Some conditions relating the geometry of the domain and the prescribing data which are sufficient for existence and uniqueness of solutions are presented. Springer Basel, 2014 Prescribed curvature equations nationallicence Principal curvature nationallicence Degenerate elliptic nationallicence Dirichlet Problem nationallicence Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 427-447 1021-9722 22:3<427 2015 22 30 https://doi.org/10.1007/s00030-014-0290-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0290-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cirant Marco Dipartimento di Matematica, Università di Padova, Via Trieste, 63, 35121, Padova, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 427-447 1021-9722 22:3<427 2015 22 30