$W^{1,1}_0$ minima of noncoercive functionals

Lucio Boccardo; Gisella Croce; Luigi Orsina

doi:10.4171/rlm/612

JournalsrlmVol. 22, No. 4pp. 513–523

$W_{0}^{1, 1}$ minima of noncoercive functionals

Lucio Boccardo
Università di Roma La Sapienza, Italy
Gisella Croce
Université du Havre, Le Havre, France
Luigi Orsina
Università di Roma La Sapienza, Italy

$$W^{1,1}_0$ minima of noncoercive functionals cover$

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Abstract

We study an integral non coercive functional defined on $H_{0}^{1} (Ω)$ , proving the existence of a minimum in $W_{0}^{1, 1} (Ω)$ .

Cite this article

Lucio Boccardo, Gisella Croce, Luigi Orsina, $W_{0}^{1, 1}$ minima of noncoercive functionals. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 22 (2011), no. 4, pp. 513–523

DOI 10.4171/RLM/612