Existence of weak solutions to superlinear elliptic systems without the Ambrosetti-Rabinowitz condition

In this article, we study the existence of the weak solution for superlinear elliptic equations and systems without the Ambrosetti-Rabinowitz condition. The Ambrosetti-Rabinowitz condition guarantees the boundedness of the PS sequence of the functional I for the corresponding problem. We establi...

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Bibliographic Details
Main Authors: Xiaohui Wang, Peihao Zhao
Format: Article
Language:English
Published: Texas State University 2020-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/52/abstr.html