| [1] |
Ambrosetti, A, Arcoya, D, Buffoni, B: Positive solutions for some semi-positone problems via bifurcation theory. Differ. Integral Equ. 7(3-4), 655-663 (1994) · Zbl 0808.35030 |
| [2] |
Maya, C, Girg, P: Existence and nonexistence of positive solutions for a class of superlinear semipositone systems. Nonlinear Anal. 71(10), 4984-4996 (2009) · Zbl 1175.35044 · doi:10.1016/j.na.2009.03.070 |
| [3] |
Berestycki, H, Caffarelli, LA, Nirenberg, L: Inequalities for second-order elliptic equations with applications to unbounded domains. I. Duke Math. J. 81(2), 467-494 (1996). A celebration of John F. Nash, Jr · Zbl 0860.35004 · doi:10.1215/S0012-7094-96-08117-X |
| [4] |
Lions, P-L: On the existence of positive solutions of semilinear elliptic equations. SIAM Rev. 24(4), 441-467 (1982) · Zbl 0511.35033 · doi:10.1137/1024101 |
| [5] |
Brown, KJ, Shivaji, R: Simple proofs of some results in perturbed bifurcation theory. Proc. R. Soc. Edinb., Sect. A 93(1-2), 71-82 (1982/1983) · Zbl 0511.35007 · doi:10.1017/S030821050003167X |
| [6] |
Castro, A, Shivaji, R: Nonnegative solutions for a class of nonpositone problems. Proc. R. Soc. Edinb., Sect. A 108(3-4), 291-302 (1988) · Zbl 0659.34018 · doi:10.1017/S0308210500014670 |
| [7] |
Castro, A, Shivaji, R: Nonnegative solutions to a semilinear Dirichlet problem in a ball are positive and radially symmetric. Commun. Partial Differ. Equ. 14(8-9), 1091-1100 (1989) · Zbl 0688.35025 · doi:10.1080/03605308908820645 |
| [8] |
Hai, DD, Sankar, L, Shivaji, R: Infinite semipositone problems with asymptotically linear growth forcing terms. Differ. Integral Equ. 25(11-12), 1175-1188 (2012) · Zbl 1274.35089 |
| [9] |
Lee, EK, Sankar, L, Shivaji, R: Positive solutions for infinite semipositone problems on exterior domains. Differ. Integral Equ. 24(9-10), 861-875 (2011) · Zbl 1249.35081 |
| [10] |
Lee, EK, Shivaji, R, Ye, J: Classes of infinite semipositone systems. Proc. R. Soc. Edinb., Sect. A 139(4), 853-865 (2009) · Zbl 1182.35132 · doi:10.1017/S0308210508000255 |
| [11] |
Sankar, L, Sasi, S, Shivaji, R: Semipositone problems with falling zeros on exterior domains. J. Math. Anal. Appl. 401(1), 146-153 (2013) · Zbl 1266.35041 · doi:10.1016/j.jmaa.2012.11.031 |
| [12] |
Maya, C, Girg, P: Existence of positive solutions for a class of superlinear semipositone systems. J. Math. Anal. Appl. 408(2), 781-788 (2013) · Zbl 1310.35092 · doi:10.1016/j.jmaa.2013.06.041 |
| [13] |
Castro, A, Sankar, L, Shivaji, R: Uniqueness of nonnegative solutions for semipositone problems on exterior domains. J. Math. Anal. Appl. 394(1), 432-437 (2012) · Zbl 1253.35004 · doi:10.1016/j.jmaa.2012.04.005 |
| [14] |
Brown, KJ, Castro, A, Shivaji, R: Nonexistence of radially symmetric nonnegative solutions for a class of semi-positone problems. Differ. Integral Equ. 2(4), 541-545 (1989) · Zbl 0736.35039 |
| [15] |
Shivaji, R, Ye, J: Nonexistence results for classes of 3×\(33\times 3\) elliptic systems. Nonlinear Anal. 74(4), 1485-1494 (2011) · Zbl 1214.35020 · doi:10.1016/j.na.2010.10.021 |
| [16] |
Ko, E, Lee, EK, Shivaji, R: Multiplicity results for classes of singular problems on an exterior domain. Discrete Contin. Dyn. Syst. 33(11-12), 5153-5166 (2013) · Zbl 1279.35026 · doi:10.3934/dcds.2013.33.5153 |
