Fethi Soltani, Habib Yazidi
Abstract:
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.
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Fethi Soltani Department of Mathematics Faculty of Science Jazan University , P.O. Box 277 Jazan 45142, Saudi Arabia email: fethisoltani10@yahoo.com |
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Habib Yazidi University of Tunis National School of Engineering of Tunis Depatment of Mathematics, 5 Street Taha Hssine Bab Mnara 1008 Tunis, Tunisia email: habib.yazidi@gmail.com |
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