On the minimal solution of bi-Laplacian equation, By Mohsen Alimohammady

Research

Title	On the minimal solution of bi-Laplacian equation
Type	JournalPaper
Keywords	Semilinear biharmonic operator، Navier boundary condition، Minimal solution، Convex function.
Year	2019
Journal	Annals of the University of Craiova, Mathematics and Computer Science Series
DOI
Researchers	Mohsen Alizadeh ، Mohsen Alimohammady ، Carlo Cattani ، Clemente Cesarano

Abstract

We study the existence of positive solution to the problem \Del(u)+ 􀀀 q􀀀 (x)u = h(u) + g (x) in ;\Omega u > 0 in ; u = 0 = u on \Omega ; where \Omega is a smooth bounded domain in R^N. We verify existence u of minimal positive solution for main problem .