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 ℝ4, with a parameter λ &gt; 0. We establish upper and lower bounds for λ, which determine multiplicity and non-existence of solutions. © 2017 Texas State University.

Abhishek Sarkar

Department of Mathematics

IIT Jodhpur

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Journal	Electronic Journal of Differential Equations
Publisher	Texas State University - San Marcos
ISSN	10726691