Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations

Abstract We study the one-dimensional nonlocal elliptic equation − A ( ∥ u ′ ∥ p p ) u ″ ( x ) = λ B ( ∥ u ′ ∥ q q ) u ( x ) r , x ∈ I : = ( 0 , 1 ) , u ( x ) > 0 , x ∈ I , u ( 0 ) = u ( 1 ) = 0 , $$\begin{aligned}& -A\bigl( \bigl\Vert u' \bigr\Vert _{p}^{p} \bigr) u''(x) = \la...

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Bibliographic Details
Published in:Boundary Value Problems
Main Author: Tetsutaro Shibata
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Subjects:
Online Access:https://doi.org/10.1186/s13661-022-01644-8