Fourth-order nonlinear elliptic equations with critical growth

Edmunds, David E., Fortunato, Donato, and Jannelli, Enrico. "Fourth-order nonlinear elliptic equations with critical growth." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 83.1 (1989): 115-119. <http://eudml.org/doc/289058>.

@article{Edmunds1989,
abstract = {In this paper we consider a nonlinear elliptic equation with critical growth for the operator $\Delta^\{2\}$ in a bounded domain $\Omega \subset \mathbb\{R\}^\{n\}$. We state some existence results when $n \ge 8$. Moreover, we consider $5 \le n \le 7$, expecially when $\Omega$ is a ball in $\mathbb\{R\}^\{n\}$.},
author = {Edmunds, David E., Fortunato, Donato, Jannelli, Enrico},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
keywords = {Biharmonic operator; Critical exponent; Sobolev embeddings},
language = {eng},
month = {12},
number = {1},
pages = {115-119},
publisher = {Accademia Nazionale dei Lincei},
title = {Fourth-order nonlinear elliptic equations with critical growth},
url = {http://eudml.org/doc/289058},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Edmunds, David E.
AU - Fortunato, Donato
AU - Jannelli, Enrico
TI - Fourth-order nonlinear elliptic equations with critical growth
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 115
EP - 119
AB - In this paper we consider a nonlinear elliptic equation with critical growth for the operator $\Delta^{2}$ in a bounded domain $\Omega \subset \mathbb{R}^{n}$. We state some existence results when $n \ge 8$. Moreover, we consider $5 \le n \le 7$, expecially when $\Omega$ is a ball in $\mathbb{R}^{n}$.
LA - eng
KW - Biharmonic operator; Critical exponent; Sobolev embeddings
UR - http://eudml.org/doc/289058
ER -