论文信息 - BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II

BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II

This paper is concerned with bifurcation solutions of quasilinear elliptic problems. Our results generalize some earlier work, in particular, a similar type of result found in [3] where an additional structural condition is required to be imposed and the result in [11] where bifurcations in terms of the radius of the solutions were considered.

Zhi-Qiang Wang | Jiaquan Liu

[1] Jiaquan Liu,et al. Bifurcations for quasilinear Schrödinger equations, I , 2007 .

[2] A. Canino. Variational bifurcation for quasilinear elliptic equations , 2003 .

[3] Sergio Lancelotti. Morse index estimates for continuous functionals associated with quasilinear elliptic equations , 2002, Advances in Differential Equations.

[4] Marco Degiovanni,et al. A critical point theory for nonsmooth functional , 1994 .

[5] Guy Katriel,et al. Mountain pass theorems and global homeomorphism theorems , 1994 .

[6] M. Struwe. Quasilinear elliptic eigenvalue problems , 1983 .

[7] P. Rabinowitz. A bifurcation theorem for potential operators , 1977 .

[8] Reinhold Böhme. Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme , 1972 .

[9] A. Ioffe,et al. An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces , 1997 .

[10] A. Ioffe,et al. Metric critical point theory. 1. Morse regularity and homotopic stability of a minimum , 1996 .

[11] Marco Degiovanni,et al. Nonsmooth critical point theory and quasilinear elliptic equations , 1995 .

[12] A. Marino. La biforcazione nel caso variazionale , 1973 .