1 |
E.N. Dancer, On the structure of solutions of non-linear eigenvalue problems, Indiana Univ. Math. J. 23 (1974), 1069-1076.
DOI
|
2 |
R. Yang, Y.H. Lee, Bifurcation of positive radial solutions for a prescribed mean curvature problem on an exterior domain, Advances in Differential Equations 25 Number 3-4 (2020) 161-190.
|
3 |
R. Bartnik, L. Simon, Spacelike hypersurfaces with prescribed boundary values and mean curvature, Commun. Math. Phys. 87 (1982) 131-152.
DOI
|
4 |
A.E. Treibergs, Entire spacelike hypersurfaces of constant mean curvature in Minkowski space, Invent. Math. 66 (1982) 39-56.
DOI
|
5 |
C. Bereanu, P. Jebelean, J. Mawhin, Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces, Math. Nachr. 283 (2010) 379-391.
DOI
|
6 |
C. Bereanu, P. Jebelean, J. Mawhin, Multiple solutions for Neumann and periodic problems with singular φ-Laplacian, J. Funct. Anal. 261 (2011) 3226-3246.
DOI
|
7 |
C. Bereanu, P. Jebelean, J. Mawhin, Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces, Proc. Amer. Math. Soc. 137 (2009) 161-169.
DOI
|
8 |
C. Bereanu, P. Jebelean, J. Mawhin, Radial solutions of Neumann problems involving mean extrinsic curvature and periodic nonlinearities, Calc. Var. 46 (2013) 113-122.
DOI
|
9 |
I. Coelho, C. Corsato, F. Obersnel, P. Omari, Positive solutions of the Dirichlet problem for one-dimensional Minkowski-curvature equation, Adv. Nonlinear Stud. 12 (2012) 621-638.
DOI
|
10 |
C. Bereanu, P. Jebelean, P.J. Torres, Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space, J. Funct. Anal. 265 (2013) 644-659.
DOI
|
11 |
R. Ma, H. Gao, Y. Lu, Global structure of radial positive solutions for a prescribed mean curvature problem in a ball, J. Funct. Anal. 270 (2016) 2430-2455.
DOI
|
12 |
C. Bereanu, P. Jebelean, P.J. Torres, Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space, J. Funct. Anal. 264 (2013) 270-287.
DOI
|
13 |
P.H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971) 487-513.
DOI
|
14 |
G. Dai, Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space, Calc. Var. 55 (2016) 1-17.
DOI
|
15 |
G. Dai, J. Wang, Nodal solutions to problem with mean curvature operator in Minkowski space, Differential and Integral Equations 30 (2017) 463-480.
|
16 |
B.H. Im, E.K. Lee, Y.H. Lee, A global bifurcation phenomenon for second order singular boundary value problems, J. Math. Anal. Appl. 308 (2005) 61-78.
DOI
|
17 |
H. Asakawa, Nonresonant singular two-point boundary value problems, Nonlinear Anal. 44 (2001) 791-809.
DOI
|
18 |
R. Kajikiya, Y.H. Lee, I. Sim, One-dimensional p-Laplacian with a strong singular indefinite weight, I. Eigenvalue, J. Differential Equations 244 (2008) 1985-2019.
DOI
|
19 |
R. Yang, Y.H. Lee, and I. Sim, Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain, J. Differential Equations 268 (2020) 4464-4490.
DOI
|
20 |
R. Kajikiya, Y.H. Lee, I. Sim, Bifurcation of sign-changing solutions for one-dimensional p-Laplacian with a strong singular weight; p-sublinear at ∞, Nonlinear Anal. 71 (2009) 1235-1249.
DOI
|
21 |
J.K. Hunter, B. Nachtergaele, Applied Analysis, World Scientific, London 2001.
|
22 |
G.T. Whyburn, Topological Analysis, Princeton University Press, Princeton, 1958.
|
23 |
R. Ma, Y. An, Global structure of positive solutions for nonlocal boundary value problems involving integral conditions, Nonlinear Anal. 71 (2009) 4364-4376.
DOI
|
24 |
C. Gerhardt, H-surfaces in Lorentzian manifolds, Commun. Math. Phys. 89 (1983) 523-553.
DOI
|
25 |
H. Luo, R. Ma, The existence and application of unbounded connected components, J. Appl. Math. 2014 (2014), 7 pp.
|
26 |
R. Yang, I. Sim, and Y.H. Lee, -tangentiality of solutions for one-dimensional Minkowski-curvature problems, Advances in Nonlinear Analysis 9(1) (2020) 1463-1479.
DOI
|