کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843035 | 908544 | 2007 | 15 صفحه PDF | دانلود رایگان |

This paper is concerned with bifurcation problems for quasilinear Schrödinger type equations such as the modified nonlinear Schrödinger equations which have appeared as several models from mathematical physics. We give a new approach for dealing with bifurcation problems of nonlinear potential operators. The novelty of our approach lies in establishing multiple bifurcations without making a reduction to finite dimensional problems. The finite dimensional reduction procedures that have been used in the past work for semilinear problems but are not suitable for quasilinear problems. We give a unified approach requiring much less regularity of the problems. As applications we provide multiple bifurcation results for the modified nonlinear Schrödinger equations.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 11, 1 December 2007, Pages 3152–3166