과제정보
This work was supported by a research grant of Chinju National University of Education in 2020.
참고문헌
- R.P. Agarwal, H. Lu, and D. O'Regan, Eigenvalues and the one-dimensional p-Laplacian, J. Math. Anal. Appl., 266 (2002), no. 2, 383-400. https://doi.org/10.1006/jmaa.2001.7742
- K. Deimling, Nonlinear functional analysis, Springer-Verlag, Berlin, 1985.
- D. Guo and V. Lakshmikantham, Nonlinear problems in abstract cones, Academic Press, Inc., Boston, MA, 1988.
- J. Jeong and C.G. Kim, Existence of positive solutions to singular boundary value problems involving ϕ-laplacian, Mathematics, 7 (2019), no. 654, 1-13.
- J. Jeong and C.G. Kim, Existence of positive solutions to singular ϕ-laplacian nonlocal boundary value problems when ϕ is a sup-multiplicative-like function, Mathematics, 8 (2020), no. 420, 1-18.
- G.L. Karakostas, Positive solutions for the Φ-Laplacian when Φ is a sup-multiplicative-like function, Electron. J. Differential Equations, (2004), no. 68, 1-12.
- G.L. Karakostas, Triple positive solutions for the Φ-Laplacian when Φ is a sup-multiplicative-like function, Electron. J. Differential Equations, (2004), no. 69, 1-13.
- U. Kaufmann and L. Milne, On one-dimensional superlinear indefinite problems involving the φ-Laplacian, J. Fixed Point Theory Appl., 20 (2018), no. 134, 1-9. https://doi.org/10.1007/s11784-018-0489-6
- U. Kaufmann and L. Milne, Positive solutions for nonlinear problems involving the one-dimensional ϕ-Laplacian, J. Math. Anal. Appl., 461 (2018), no. 1, 24-37. https://doi.org/10.1016/j.jmaa.2017.12.063
- C.G. Kim, Existence of positive solutions for singular boundary value problems involving the one-dimensional p-Laplacian, Nonlinear Anal., 70 (2009), no. 12, 4259-4267. https://doi.org/10.1016/j.na.2008.09.011
- C.G. Kim, Existence of positive solutions for multi-point boundary value problem with strong singularity, Acta Appl. Math., 112 (2010), no. 1, 79-90, 2010. https://doi.org/10.1007/s10440-009-9554-x
- C.G. Kim, Existence, nonexistence and multiplicity of positive solutions for singular boundary value problems involving ϕ-laplacian, Mathematics, 7 (2019), no. 953, 1-12.
- E.K. Lee and Y.H. Lee, A multiplicity result for generalized Laplacian systems with multiparameters, Nonlinear Anal., 71 (2009), no. 12, 366-376.
- Y.H. Lee and X. Xu, Multiplicity results of positive solutions for singular generalized Laplacian systems, J. Korean Math. Soc., 56 (2019), no. 5, 1309-1331. https://doi.org/10.4134/JKMS.J180658
- Y.H. Lee and X. Xu, Existence and multiplicity results for generalized Laplacian problems with a parameter, Bull. Malays. Math. Sci. Soc., 43 (2020), no. 1, 403-424. https://doi.org/10.1007/s40840-018-0691-0
- R. Shivaji, I. Sim, and B. Son, A uniqueness result for a semipositone p-Laplacian problem on the exterior of a ball J. Math. Anal. Appl., 445 (2017), no. 1, 459-475. https://doi.org/10.1016/j.jmaa.2016.07.029
- I. Sim, On the existence of nodal solutions for singular one-dimensional φ-Laplacian problem with asymptotic condition, Commun. Pure Appl. Anal., 7 (2008), no. 4, 905-923. https://doi.org/10.3934/cpaa.2008.7.905
- H. Wang, On the structure of positive radial solutions for quasilinear equations in annular domains, Adv. Differential Equations, 8 (2003), no. 1, 111-128. https://doi.org/10.57262/ade/1355926870