Infinitely many solutions for p-Laplacian boundary-value problems on the real line

Under appropriate oscillating behaviour of the nonlinear term, we prove the existence of multiple solutions for p-Laplacian parametric equations on unbounded intervals. These problems have a variational structure, so we use an abstract result for smooth functionals defined on reflexive Banach sp...

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Bibliographic Details
Main Authors: Saleh Shakeri, Armin Hadjian
Format: Article
Language:English
Published: Texas State University 2016-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/288/abstr.html
Description
Summary:Under appropriate oscillating behaviour of the nonlinear term, we prove the existence of multiple solutions for p-Laplacian parametric equations on unbounded intervals. These problems have a variational structure, so we use an abstract result for smooth functionals defined on reflexive Banach spaces.
ISSN:1072-6691