Geodesic
A note on a critical problem with natural growth in the gradient
Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 157-170.

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The paper analyzes the influence on the meaning of natural growth in the gradient, of a perturbation by a Hardy potential in some elliptic equations. We obtain a linear differential operator that, in a natural way, is the corresponding gradient for the perturbed elliptic problem.
DOI : 10.4171/jems/43
Classification : 35-XX, 46-XX, 00-XX
Keywords: Elliptic equations, Hardy potential, quadratic growth in the gradient, optimal summability 
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     title = {A note on a critical problem with natural growth in the gradient},
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     pages = {157--170},
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Boumediene Abdellaoui; Ireneo Peral Alonso. A note on a critical problem with natural growth in the gradient. Journal of the European Mathematical Society, Tome 8 (2006) no. 2, pp. 157-170. doi : 10.4171/jems/43. http://geodesic.mathdoc.fr/articles/10.4171/jems/43/

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