Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth

This article concerns the existence and multiplicity of solutions to the superlinear elliptic problems. We introduce a new superlinear condition which is proved to be weaker than the Ambrosetti-Rabinowitz condition, the nonquadratic condition, the monotonicity conditions. As an application, posi...

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Bibliographic Details
Main Authors: Xiao-Feng Ke, Chun-Lei Tang
Format: Article
Language:English
Published: Texas State University 2018-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/88/abstr.html