کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418995 | 1339370 | 2013 | 5 صفحه PDF | دانلود رایگان |
In this paper, we shall establish a unilateral global bifurcation theorem from infinity for a class of p-Laplacian problems. As an application of the above result, we shall study the global behavior of the components of nodal solutions of the following problem {(Ïp(uâ²))â²+λa(t)f(u)=0,tâ(0,1),u(0)=u(1)=0, where Ïp(s)=|s|pâ2s, aâC([0,1],[0,+â)) with aâ¢0 on any subinterval of [0,1]; f:RâR is continuous, and there exist two constants s2<0
Journal: Journal of Mathematical Analysis and Applications - Volume 397, Issue 1, 1 January 2013, Pages 119-123