Sequences of positive homoclinic solutions to difference equations with variable exponent

References

[1] Avci, M.—Pankov, A.: Nontrivial solutions of discrete nonlinear equations with variable exponent, J. Math. Anal. Appl. 431 (2015), 22–33.10.1016/j.jmaa.2015.05.056Suche in Google Scholar

[2] Bonanno, G.—Chinně, A.: Existence results of infinitely many solutions for p(x)-Laplacian elliptic Dirichlet problems, Complex Var. Elliptic Equ. 57(11) (2012), 1233–1246.10.1080/17476933.2012.662225Suche in Google Scholar

[3] Bonanno, G.—Molica Bisci, G.: Infinitely many solutions for a boundary value problem with discontinuous nonlinearities, Bound. Value Probl. 2009 (2009), 1–20.10.1155/2009/670675Suche in Google Scholar

[4] Bonanno, G.—Molica Bisci, G.—Rădulescu, V.: Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces, Nonlinear Anal. 75(12) (2012), 4441–4456.10.1016/j.na.2011.12.016Suche in Google Scholar

[5] Cabada, A.—Iannizzotto, A.–Tersian, S.: Multiple solutions for discrete boundary value problems, J. Math. Anal. Appl. 356 (2009), 418–428.10.1016/j.jmaa.2009.02.038Suche in Google Scholar

[6] Candito, P.—Molica Bisci, G.: Existence of two solutions for a second-order discrete boundary value problem, Adv. Nonlinear Stud. 11 (2011), 443–453.10.1515/ans-2011-0212Suche in Google Scholar

[7] Chen, P.—Tang, X. H.—Agarwal, R. P.: Existence of homoclinic solutions for p(n)-Laplacian Hamiltonian systems on Orlicz sequence spaces, Math. Comput. Modelling 55(3–4) (2012), 989–1002.10.1016/j.mcm.2011.09.025Suche in Google Scholar

[8] Faraci, F.—Kristály, A.: One-dimensional scalar field equations involving an oscillatory nonlinear term, Discrete Contin. Dyn. Syst 18(1) (2007), 107–120.10.3934/dcds.2007.18.107Suche in Google Scholar

[9] Iannizzotto, A.—Rădulescu, V.: Positive homoclinic solutions for the discretep-Laplacian with a coercive potential, Differential Integral Equations 27 (2014), 35–44.10.57262/die/1384282852Suche in Google Scholar

[10] Iannizzotto, A.—Tersian, S.: Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory, J. Math. Anal. Appl. 403 (2013), 173–182.10.1016/j.jmaa.2013.02.011Suche in Google Scholar

[11] Kong, L.: Homoclinic solutions for a second order difference equation with p-Laplacian, Appl. Math. Comput. 247 (2014), 1113–1121.10.1016/j.amc.2014.09.069Suche in Google Scholar

[12] Kristály, A.—Mihăilescu, M.—Rădulescu, V.: Discrete boundary value problems involving oscillatory nonlinearities: small and large solutions, J. Difference Equ. Appl. 17 (2011), 1431–1440.10.1080/10236190903555245Suche in Google Scholar

[13] Kristály, A.—Morosanu, G.—Tersian, S.: Quasilinear elliptic problems in ℝⁿ involving oscillatory nonlinearities, J. Differential Equations 235 (2007), 366–375.10.1016/j.jde.2007.01.012Suche in Google Scholar

[14] Kristály, A.—Rădulescu, V.—Varga, C.: Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems. In: Encyclopedia of Mathematics and its Applications, vol. 136, Cambridge University Press, Cambridge, 2010.Suche in Google Scholar

[15] Kuang, J.: On ground states of discrete p(k)-Laplacian systems in generalized Orlicz sequence spaces, Abstr. Appl. Anal. 2014, Art. ID 808102.10.1155/2014/808102Suche in Google Scholar

[16] Ma, M.—Guo, Z.: Homoclinic orbits for second order self-adjont difference equations, J. Math. Anal. Appl. 323 (2006), 513–521.10.1016/j.jmaa.2005.10.049Suche in Google Scholar

[17] Molica Bisci, G.—Repovš, D.: Existence of solutions for p-Laplacian discrete equations, Appl. Math. Comput. 242 (2014), 454–461.10.1016/j.amc.2014.05.118Suche in Google Scholar

[18] Papageorgiou, N. S.—Rădulescu, V. D.—Repovš, D. D.: Nonlinear Analysis – Theory and Methods. Springer Monogr. Math., Springer, Cham, 2019.10.1007/978-3-030-03430-6Suche in Google Scholar

[19] Rădulescu, V.: Nonlinear elliptic equations with variable exponent: old and new, Nonlinear Anal. 121 (2015), 336-369.10.1016/j.na.2014.11.007Suche in Google Scholar

[20] Rădulescu, V.—Repovš, D.: Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis, CRC Press, Taylor and Francis Group, Boca Raton FL, 2015.10.1201/b18601Suche in Google Scholar

[21] Ricceri, B.: A general variational principle and some of its applications, J. Comput. Appl. Math. 133 (2000), 401–410.10.1016/S0377-0427(99)00269-1Suche in Google Scholar

[22] Stegliński, R.: On sequences of large homoclinic solutions for a difference equations on the integers, Adv. Differ. Equ. 198 (2016), 11 pp.10.1186/s13662-016-0771-0Suche in Google Scholar

[23] Stegliński, R.: On sequences of large homoclinic solutions for a difference equation on the integers involving oscillatory nonlinearities, Electron. J. Qual. Theory Differ. Equ. 35 (2016), 11 pp.10.14232/ejqtde.2016.1.35Suche in Google Scholar

[24] Stegliński, R.: Sequences of small homoclinic solutions for a difference equations on integers, Electr. J. Diff. Equ. 228 (2017), 1–12.10.1186/s13662-016-0771-0Suche in Google Scholar

[25] Stegliński, R.: On homoclinic solutions for a second order difference equations withp-Laplacian, Discrete Contin. Dyn. Syst. Ser. B23(1) (2018), 487–492.10.3934/dcdsb.2018033Suche in Google Scholar

[26] Sun, G.—Mai, A.: Infinitely many homoclinic solutions for second order nonlinear difference equations withp-Laplacian, The Scientific World Journal 2014, Art. ID 276372.10.1155/2014/276372Suche in Google Scholar PubMed PubMed Central