Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space Bereanu, C. Jebelean, P. Torres Villarroya, Pedro José Dirichlet problem Positive radial solutions Mean curvature operator Minkowski space Leray-Schauder degree Szulkin’s critical point theory The first author is partially supported by a GENIL grant YTR-2011-7 (Spain) and by the grant PN-II-RU-TE-2011-3-0157 (Romania). The second author is partially supported by the grant PN-II-RU-TE-2011-3-0157 (Romania). The third author is partially supported by Ministerio de Economia y Competitividad, Spain, project MTM2011-23652. In this paper, by using Leray-Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C1-functionals, we obtain existence of classical positive radial solutions for Dirichlet problems of type div ( √1 − |∇ ∇v v|2 ) + f(|x|; v) = 0 in B(R); v = 0 on @B(R): Here, B(R) = {x ∈ RN : |x| < R} and f : [0; R] × [0; α) → R is a continuous function, which is positive on (0; R] × (0; α): 2020-07-24T08:51:17Z 2020-07-24T08:51:17Z 2012 info:eu-repo/semantics/article Published version: Bereanu, C., Jebelean, P., & Torres, P. J. (2013). Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. Journal of Functional Analysis, 264(1), 270-287. [https://doi.org/10.1016/j.jfa.2012.10.010] http://hdl.handle.net/10481/63121 10.1016/j.jfa.2012.10.010 eng Bereanu, C., Jebelean, P., & Torres, P. J. (2013). Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. Journal of Functional Analysis, 264(1), 270-287. https://doi.org/10.1016/j.jfa.2012.10.010 http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España Elsevier