A note on a critical problem with natural growth in the gradient

Boumediene Abdellaoui, Ireneo Peral
2006 Journal of the European Mathematical Society (Print)  
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. Indeed, in the case of the Laplacian the natural problem becomes This problem is a particular case of problem (2). Notice that (N − 2)/2 is optimal as coefficient and exponent on the right hand side.
doi:10.4171/jems/43 fatcat:dn3xhdqq4reabdnxg3wgzmouiq