Improved Poincaré inequalities and solutions of the divergence in weighted norms

The improved Poincaré inequality ||φ-φΩ||Lp(Ω)≤C||d∇φ||Lp(Ω) Where Ω ⊂ Rn is a bounded domain and d(x) is the distance from x to the boundary of Ω, has many applications. In particular, it can be used to obtain a decomposition of functions with vanishing integral into a sum of locally supported func...

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Autores principales: Acosta, G., Cejas, M.E., Durán, R.G.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1239629X_v42_n1_p211_Acosta
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