References
- Albujer AL, Caballero M, López R. Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz–Minkowski space. J Differ Equat. 2015;258:2364–2374. doi: 10.1016/j.jde.2014.12.011
- Azzollini A. Ground state solution for a problem with mean curvature operator in Minkowski space. J Funct Anal. 2014;266:2086–2095. doi: 10.1016/j.jfa.2013.10.002
- Azzollini A. On a prescribed mean curvature equation in Lorentz–Minkowski space. J Math Pure Appl. 2016;106:1122–1140. doi: 10.1016/j.matpur.2016.04.003
- Bereanu C, Jebelean P, Mawhin J. Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces. Proc Am Math Soc. 2009;137:161–169. doi: 10.1090/S0002-9939-08-09612-3
- Bereanu C, Jebelean P, Torres PJ. Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. J Funct Anal. 2013;264:270–287. doi: 10.1016/j.jfa.2012.10.010
- Bereanu C, Jebelean P, Torres PJ. Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. J Funct Anal. 2013;265:644–659. doi: 10.1016/j.jfa.2013.04.006
- Bereanu C, Jebelean P, Mawhin J. The Dirichlet problem with mean curvature operator in Minkowski space–A variational approach. Adv Nonlinear Stud. 2014;14:315–326. doi: 10.1515/ans-2014-0204
- Bereanu C, Jebelean P, Mawhin J. Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces. Math Nachr. 2010;283:1522–2616. doi: 10.1002/mana.200910083
- Coelho I, Corsato C, Rivetti S. Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball. Topol Method Nonlinear Anal. 2014;44:23–39. doi: 10.12775/TMNA.2014.034
- Corsato C, Obersnel F, Omari P, Rivetti S. Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space. J Math Anal Appl. 2013;405:227–239. doi: 10.1016/j.jmaa.2013.04.003
- Mawhin J, Torres PJ. Prescribed mean curvature graphs with Neumann boundary conditions in some FLRW spacetimes. J Differ Equat. 2016;261:7145–7156. doi: 10.1016/j.jde.2016.09.013
- Mawhin J. Radial solutions of Neumann problem for periodic perturbations of the mean extrinsic curvature operator. Milan J Math. 2011;79:95–112. doi: 10.1007/s00032-011-0148-5
- Pei M, Wang L. Multiplicity of positive radial solutions of a singular mean curvature equations in Minkowski space. Appl Math Lett. 2016;60:50–55. doi: 10.1016/j.aml.2016.04.001
- Pei M, Wang L. Positive radial solutions of a mean curvature equations in Minkowski space with strong singularity. Proc Am Math Soc. 2017;145:4423–4430. doi: 10.1090/proc/13587
- Rudin W. Real and complex analysis. 3rd ed. New York: McGraw-Hill Book Company; 1986.
- Ma X, Xu J. Gradient estimates of mean curvature equations with Neumann boundary condition. Adv Math. 2014;290:1010–1039. doi: 10.1016/j.aim.2015.10.031