Fethi Soltani, Habib Yazidi
In this article, we prove the existence of solutions for a non-variational system of elliptic PDE's. Also we study a system of bi-Laplacian equations with two nonlinearities and without variational assumptions. First, we prove a priori solution estimates, and then we use fixed point theory, to deduce the existence of solutions. Finally, to complement of the existence theorem, we establish a non-existence result.
Submitted April 26, 2016. Published November 30, 2016.
Math Subject Classifications: 35B45, 35P30, 35J65, 35J55.
Key Words: Biharmonic equation; non-variational system; a priori estimates.
Show me the PDF file (247 KB), TEX file for this article.
| Fethi Soltani |
Department of Mathematics
Faculty of Science
Jazan University , P.O. Box 277
Jazan 45142, Saudi Arabia
| Habib Yazidi |
University of Tunis
National School of Engineering of Tunis
Depatment of Mathematics, 5 Street Taha Hssine
Bab Mnara 1008 Tunis, Tunisia
Return to the EJDE web page