Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R4
Date
2017-01-24
Authors
Sarkar, Abhishek
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 > 0. We establish upper and lower bounds for λ, which determine multiplicity and non-existence of solutions.
Description
Keywords
Biharmonic, Critical exponent, Multiple solutions
Citation
Sarkar, A. (2017). Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in ℝ4. <i>Electronic Journal of Differential Equations, 2017</i>(27), pp. 1-18.
Rights
Attribution 4.0 International