Exactness results for generalized Ambrosetti-Brezis-Cerami problem and related one-dimensional elliptic equations

We consider the boundary-value problem $$ displaylines{-(varphi _{p}(u'))' =varphi _{alpha }(u) +lambda varphi _{eta}(u) quadhbox{in }(0, 1) cr u(0) =u(1)=0, } $$ where $varphi _{p}(x)=left| x ight| ^{p-2}x$, $p,alpha, eta >1$ and $lambda in mathbb{R}^*$. We give the exact number of sol...

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Bibliographic Details
Main Authors: M. Derhab, S. M. Bouguima, A. Benmezai, Idris Addou
Format: Article
Language:English
Published: Texas State University 2000-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/66/abstr.html