Ahmed Attar

Weighted gradient estimates and refined existence results for a Hardy-type elliptic equation

Abstract We review Dirichlet-type problems of the form $$ -\Delta u=\lambda \frac{u}{|x|^2}+ g(\cdot ,\nabla u) \quad \text {in }\Omega ,\qquad u=0\ \text {on }\partial \Omega , $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>-</mml:mo> <mml:mi>Δ</...