과제정보
연구 과제 주관 기관 : National Research Foundation of Korea (NRF)
참고문헌
- R. P. Agarwal, K. Perera, and D. O'Regan, Multiple positive solutions of singular and nonsingular discrete problems via variational methods, Nonlinear Anal. 58 (2004), no. 1-2, 69-73. https://doi.org/10.1016/j.na.2003.11.012
- R. P. Agarwal, K. Perera, and D. O'Regan, Multiple positive solutions of singular discrete p-Laplacian problems via variational methods, Adv. Difference Equ. 2005 (2005), no. 2, 93-99.
- G. Bonanno and P. Candito, Nonlinear difference equations investigated via critical point methods, Nonlinear Anal. 70 (2009), no. 9, 3180-3186. https://doi.org/10.1016/j.na.2008.04.021
- G. Bonanno, P. Candito, and G. D'Agui, Variational methods on finite dimensional Banach spaces and discrete problems, Adv. Nonlinear Stud. 14 (2014), no. 4, 915-39. https://doi.org/10.1515/ans-2014-0406
- P. Candito and N. Giovannelli, Multiple solutions for a discrete boundary value problem involving the p-Laplacian, Comput. Math. Appl. 56 (2008), no. 4, 959-964. https://doi.org/10.1016/j.camwa.2008.01.025
- A. Elmoataz, O. Lezoray, and S. Bougleux, Nonlocal discrete regularization on weighted graphs: a framework for image and manifold processing, IEEE Trans. Image Process. 17 (2008), no. 7, 1047-1060. https://doi.org/10.1109/TIP.2008.924284
- L. Gao, Existence of multiple solutions for a second-order difference equation with a parameter, Appl. Math. Comput. 216 (2010), no. 5, 1592-1598. https://doi.org/10.1016/j.amc.2010.03.012
- S.-Y. Ha, K. Lee, and D. Levy, Emergence of time-asymptotic ocking in a stochastic Cucker-Smale system, Commun. Math. Sci. 7 (2009), no. 2, 453-469. https://doi.org/10.4310/CMS.2009.v7.n2.a9
- S.-Y. Ha and D. Levy, Particle, kinetic and uid models for phototaxis, Discrete Contin. Dyn. Syst. Ser. B 12 (2009), no. 1, 77-108. https://doi.org/10.3934/dcdsb.2009.12.77
- Z. He, On the existence of positive solutions of p-Laplacian difference equations, J. Comput. Appl. Math. 161 (2003), no. 1, 193-201. https://doi.org/10.1016/j.cam.2003.08.004
- D. Q. Jiang, D. O'Regan, and R. P. Agarwal, A generalized upper and lower solution method for singular discrete boundary value problems for the one-dimensional p-Laplacian, J. Appl. Anal. 11 (2005), no. 1, 35-47.
-
J.-H. Kim, The (p,
$\omega$ )-Laplacian operators on nonlinear networks, Ph.D. Thesis, University of Sogang at Korea. - J.-H. Kim, J.-H. Park, and J. Y. Lee, Multiple positive solutions for discrete p-Laplacian equations with potential term, Appl. Anal. Discrete Math. 7 (2013), no. 2, 327-342. https://doi.org/10.2298/AADM130612012K
- J.-H. Park and S.-Y. Chung, The Dirichlet boundary value problems for p-Schrodinger operators on finite networks, J. Difference Equ. Appl. 17 (2011), no. 5, 795-811. https://doi.org/10.1080/10236190903376204
- J.-H. Park and S.-Y. Chung, Positive solutions for discrete boundary value problems involving the p-Laplacian with potential terms, Comput. Math. Appl. 61 (2011), no. 1, 17-29. https://doi.org/10.1016/j.camwa.2010.10.026
- J.-H. Park, J.-H. Kim, and S.-Y. Chung, The p-Schrodinger equations on finite networks, Publ. Res. Inst. Math. Sci. 45 (2009), no. 2, 363-381. https://doi.org/10.2977/prims/1241553123
- V. Ta, S. Bougleux, A. Elmoataz, and O. Lezoray, Nonlocal anisotropic discrete regularization for image, data filtering and clustering, Tech. Rep., Univ. Caen, Caen, France, 2007.
- N. Trinajstic, Chemical Graph Theory, Second ed., CRC Press, Boca Raton, FL, 1992.
- N. Trinajstic, D. Babic, S. Nikolic, D. Plavsic, D. Amic, and Z. Mihalic, The Laplacian matrix in chemistry, J. Chem. Inf. Comput. Sci. 34 (1994), 368-376. https://doi.org/10.1021/ci00018a023
피인용 문헌
- Existence and multiplicity results for boundary value problems connected with the discrete p ( · ) − Laplacian on weighted finite graphs vol.290, 2016, https://doi.org/10.1016/j.amc.2016.06.016
- Critical point theory to isotropic discrete boundary value problems on weighted finite graphs vol.24, pp.4, 2018, https://doi.org/10.1080/10236198.2017.1422248