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 , with a parameter . We establish upper and lower bounds for , which determine multiplicity and non-existence of solutions.
Submitted September 12, 2016. Published January 24, 2017.
Math Subject Classifications: 35J30, 35J40, 35J60.
Key Words: Biharmonic; critical exponent; multiple solutions.
Show me the PDF file (297 KB), TEX file for this article.
| Abhishek Sarkar |
NTIS, University of West Bohemia
Technicka 8, 306 14 Plzen
Return to the EJDE web page