Positive solutions for the one-dimensional Sturm-Liouville superlinear p-Laplacian problem

We prove the existence of positive classical solutions for the p-Laplacian problem $$\displaylines{ -(r(t)\phi (u'))'=f(t,u),\quad t\in (0,1), \cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\ cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where $\phi (s)=|s|^{p-2}s$, $p>1$, $f:(0,1)\times [ 0,...

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Bibliographic Details
Main Authors: Khanh Duc Chu, Dang Dinh Hai
Format: Article
Language:English
Published: Texas State University 2018-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/92/abstr.html