Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R^4

In this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in $R^4$, with a parameter $\lambda >0$. We establish upper and lower bounds for $\lambda$,...

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Bibliographic Details
Main Author: Abhishek Sarkar
Format: Article
Language:English
Published: Texas State University 2017-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/27/abstr.html