Radial positive solutions for Neumann problems without growth restrictions. Issue 6 (3rd June 2017)

• Record Type: Journal Article
• Authors: Ma, Ruyun; Gao, Hongliang; Chen, Tianlan
• Is Part Of: Complex variables and elliptic equations. Volume 62:Issue 6(2017)
• Page Start: 848
• Page End: 861
• Publication Date: 2017-06-03
• Subjects: Elliptic equation -- Neumann problems -- positive increasing radial solutions -- bifurcation; 35J25 -- 35P30; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2016.1251420
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract: We study the existence of positive increasing radial solutions for Neumann problems in the unit ball We do not impose any growth condition on the nonlinearity at infinity. Our result is optimal and extends one of the main results in Bonheure et al. [Ann. Inst. H. Poincaré Anal. Non Linéaire. 2012;29:573–588]. The proof of our main result is based upon bifurcation techniques.