Geodesic
A Variational Inequality for a Degenerate Elliptic Operator Under Minimal Assumptions on the Coefficients
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 341-356.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this note we obtain the existence and the uniqueness of the solution of a variational inequality associated to the degenerate operator \begin{equation*}\tag{*} Lu = - \sum^n_{i,j=1} (a_{ij}(x)u_{x_i} + d_j u)_{x_j} + \sum^n_{i=1} b_i u_{x_i} + cu\end{equation*} assuming the coefficients of the lower terms and the known term belonging to a suitable degenerate Stummel-Kato class. The weight $w$, which gives the degeneration, belongs to the Muckenoupt class $A^2$.
In questa nota si studia un problema di esistenza e unicità di soluzioni di una disuguaglianza variazionale associata al seguente operatore degenere \begin{equation*}\tag{*} Lu = - \sum^n_{i,j=1} (a_{ij}(x)u_{x_i} + d_j u)_{x_j} + \sum^n_{i=1} b_i u_{x_i} + cu\end{equation*}. I coefficienti dei termini di ordine inferiore e del termine noto di (*) appartengono ad una generalizzazione degenere del classico spazio di Stummel-Kato. Il peso $w$, che fornisce la degenerazione, appartiene alla classe $A_2$ di Muckenoupt. 
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Vitanza, Carmela; Zamboni, Pietro. A Variational Inequality for a Degenerate Elliptic Operator Under Minimal Assumptions on the Coefficients. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 341-356. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a4/

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