Positive bounded solutions for nonlinear polyharmonic problems in the unit ball

[1] I. Bachar, H. Mâagli, Positive bounded solutions for semilinear elliptic equations in smooth domains, Bull. Belg. Math. Soc. Simon Stevin 20 (2013), 707-714.10.36045/bbms/1382448190Search in Google Scholar

[2] I. Bachar, H. Mâagli, S. Masmoudi, M. Zribi, Estimates for the Green function and singular solutions for polyharmonic nonlinear equation, Abstract and Applied Analysis 2003 (2003), 715-741.10.1155/S1085337503209039Open DOISearch in Google Scholar

[3] S. Ben Othman, On a singular sublinear polyharmonic problem, Abstract and Applied Analysis 2006 (2006), 1-14.10.1155/AAA/2006/27969Open DOISearch in Google Scholar

[4] S. Ben Othman, H. Mâagli, M. Zribi, Existence results for polyharmonic boundary value problems in the unit ball, Abstract and Applied Analysis 2007 (2007), 1-17.10.1155/2007/56981Open DOISearch in Google Scholar

[5] T. Boggio, Sulle funzioni di Green d'ordine m, Rend. Circ. Math. Palermo, 20 (1905), 97-135. 10.1007/BF03014033Search in Google Scholar

[6] A. Dhii, Z. Zine El Abidine, Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball, Nonlinear Analysis 75 (2012), 625-636.10.1016/j.na.2011.08.064Search in Google Scholar

[7] J. Giacomoni, P. Mishra, K. Sreenadh, Fractional elliptic equations with critical exponential nonlinearity, Adv. Nonlinear Anal. 5 (2016), no. 1, 57-74.Search in Google Scholar

[8] S. Gontara, Z. Zine El Abidine, Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems, Electronic Journal of Differential Equations 113 (2010), 1-18.Search in Google Scholar

[9] S. Kumar, D. Kumar, J. Singh, Fractional modelling arising in unidirectional propagation of long waves in dispersive media, Adv. Nonlinear Anal. 5 (2016), no. 4, 383-394.Search in Google Scholar

[10] H. Mâagli, F. Toumi, M. Zribi, Existence of positive solutions for some polyharmonic nonlinear boundary-value problems, Electronic Journal of Differential Equations 58 (2003), 1-19.Search in Google Scholar

[11] G. Molica Bisci, V. R_adulescu, Ground state solutions of scalar field fractional Schrödinger equations, Calc. Var. Partial Differential Equations 54 (2015), no. 3, 2985-3008.Search in Google Scholar

[12] G. Molica Bisci, V. R_adulescu, R. Servadei, Variational Methods for Nonlocal Fractional Problems, Encyclopedia of Mathematics and its Applications, Vol. 162, Cambridge University Press, Cambridge, 2016.10.1017/CBO9781316282397Search in Google Scholar

[13] G. Molica Bisci, D. Repov_s, On doubly nonlocal fractional elliptic equations, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), no. 2, 161-176.Search in Google Scholar

[14] P. Pucci, M. Xiang, B. Zhang, Existence and multiplicity of entire solutions for fractional p-Kirchho equations, Adv. Nonlinear Anal. 5 (2016), no. 1, 27-55.Search in Google Scholar

[15] D. Repovš, B. Zhang, X. Zhang, Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials, Nonlinear Anal. 142 (2016), 48-68.10.1016/j.na.2016.04.012Search in Google Scholar