Existence of solutions for perturbed fractional equations with two competing weighted nonlinear terms

Abstract This paper deals with a perturbed nonlocal equation of fractional Laplacian type involving two competing nonlinear terms with weights f and h. Under two kinds of integrability conditions on the ratio of f to h, we show some different existence results in this setting by using variational me...

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Bibliographic Details
Main Authors: Yujuan Tian, Shasha Zhao
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1074-z