[1] Bartnik R, Simon L. Spacelike hypersurfaces with prescribed boundary values and mean curvature. Comm Math Phys, 1982-1983, 87:131-152
[2] Bereanu C, Jebelean P, Mawhin J. Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces. Proc Amer Math Soc, 2009, 137:161-169
[3] Bereanu C, Jebelean P, Mawhin J. Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces. Math Nachr, 2010, 283:379-391
[4] Bereanu C, Jebelean P, Torres P J. Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. J Funct Anal 2013, 264:270-287
[5] Bereanu C, Jebelean P, Torres P J. Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. J Funct Anal 2013, 265:644-659
[6] 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
[7] Chu J, Chen H, O'Regan D. Positive periodic solutions and eigenvalue intervals for systems of second order differential equations. Math Nachr, 2008, 281:1549-1556
[8] Coelho I, Corsato C, Rivetti S. Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball. Topol Methods Nonlinear Anal, 2014, 44:23-39
[9] 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
[10] Dai G. Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space. Calc Var Partial Differ Equ, 2016, 55(72):1-17
[11] Hu S, Wang H. Convex Solutions of boundary value problems arising from Monge-Ampère equations. Discrete Contin Dyn Syst, 2006, 16:705-720
[12] Infante G, Webb J R L. Nonzero solutions of Hammerstein integral equations with discontinuous kernels. J Math Anal Appl, 2002, 272:30-42
[13] Krasnoselskii M A. Positive Solutions of Operator Equations. Noordhoff:Groningen, 1964
[14] Lan K Q. Multiple positive solutions of semilinear differential equations with singularities. J London Math Soc, 2001, 63:690-704
[15] Ma R, Gao H, Lu Y. Global structure of radial positive solutions for a prescribed mean curvature problem in a ball. J Funct Anal, 2016, 270:2430-2455
[16] Ma R. Positive solutions for Dirichlet problems involving the mean curvature operator in Minkowski space. Monatsh Math, 2018, 187(2):315-325
[17] Ma R, Gao H. Multiple positive solutions for a class of semipositone Neumann problems with singular φ-Laplacian. Acta Mathematica Scientia, 2017, 37B(5):1472-1482
[18] Mawhin J. Radial solution of Neumann problem for periodic perturbations of the mean extrinsic curvature operator. Milan J Math, 2011, 79:95-112
[19] 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
[20] Pei M, Wang L. Positive radial solutions of a mean curvature equation in Minkowski space with strong singularity. Proc Amer Math Soc, 2017, 145:4423-4430 |