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

Research

Title	On the minimal solution of bi-Laplacian equation
Type	Article
Keywords	Semilinear biharmonic operator، Navier boundary condition، Minimal solution، Convex function.
Journal	Annals of the University of Craiova, Mathematics and Computer Science Series
DOI	—
Researchers	Mohsen Alizadeh (First researcher) , Mohsen Alimohammady (Second researcher) , Carlo Cattani (Third researcher) , Clemente Cesarano (Fourth researcher)

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 .