Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 191
Entropy solutions for elliptic Schrödinger type equations under Fourier boundary conditions
Hayat Benkhalou, Mohamed Badr Benboubker, Hassane Hjiaj, Ismael Nyanquini
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2172
April 15, 2172

Abstract: \begin{abstract} We consider the following quasilinear Fourier boundary-value problem of the type: $$ \left\{\begin{array}{lll} \displaystyle -\mbox{div}(a(x,|\nabla u|)\nabla u)+ |u|^{p(.)-2}u \displaystyle = f(x,u) & \mbox{in} & \Omega\\ \displaystyle \lambda u+a(x,|\nabla u|)\nabla u.\eta\displaystyle = g & \mbox{on} & \partial\Omega; \end{array}\right. $$ where $\Omega$ is a bounded open subset of $\RR^{N}$, ($N\geq 3$) with Lipschitz boundary $\partial\Omega$, $\eta$ is the outer unit normal vector on $\partial\Omega$, $p$ is continuous function and $\lambda$ is positif constant. ...