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Weak solutions of quasilinear biharmonic problems with positive, increasing and convex nonlinearities
Journal article   Peer reviewed

Weak solutions of quasilinear biharmonic problems with positive, increasing and convex nonlinearities

I. Abid, M. Jleli and N. Trabelsi
Analysis and applications, Vol.6(3), pp.213-227
01/07/2008
DOI: https://doi.org/10.1142/S0219530508001134

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the existence of positive weak solutions to a fourth-order semilinear elliptic equation with Navier boundary conditions and a positive, increasing and convex source term. We also prove the uniqueness of extremal solutions. In particular, we generalize results of Mironescu and Radulescu for the bi-Laplacian operator.

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