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A variational convergence for bifunctionals. Application to a model of strong junction
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June 2012, 5(3): 369-397. doi: 10.3934/dcdss.2012.5.369
Elliptic problems with $L^1$-data in the half-space
Chérif Amrouche 1, and Huy Hoang Nguyen 2,
Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau et des Pays de l'Adour, IPRA, Avenue de l'Université, 64000 Pau
Departamento de Matematica, IMECC - Universidade Estadual de Campinas, Caixa Postal 6065, Campinas, SP 13083-970, Brazil
Received September 2010 Revised February 2011 Published October 2011
In this paper, we study the div-curl-grad operators and some elliptic problems in the half-space $\mathbb{R}^n_+$, with $n\geq 2$. We consider data in weighted Sobolev spaces and in $L^1$.
Keywords: half-space, weighted Sobolev spaces., Div-curl-grad operators, elliptic.
Mathematics Subject Classification: 35J25, 35J4.
Citation: Chérif Amrouche, Huy Hoang Nguyen. Elliptic problems with $L^1$-data in the half-space. Discrete & Continuous Dynamical Systems - S, 2012, 5 (3) : 369-397. doi: 10.3934/dcdss.2012.5.369
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