A nonlinear elliptic Pde with the inverse square potential

75 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Improved Hardy and Rellich inequalities on Riemannian manifolds (2007, background): “…as well as their improved versions (in the sense that nonnegative terms are added in the right hand side of (1.1) and (1.2)), which have attracted a lot of attention because of their application to singular problems, e.g. [2], [21], [5], [13], [24], [6], [10] and the references therein.”
On the singular elliptic systems involving multiple critical Sobolev exponents (2011, background): “See for example [6–8,4,9–15,3] and the references therein.”
Nonexistence of local solutions to semilinear partial differential inequalities (2004, background): “4) and semilin problems involving an inverse square potential (in particular, see [9,22,23]).”
On a semilinear elliptic equation with inverse-square potential (2005, unknown): “The argument is the same as in the proof of Theorem 2 except that the result of [6] is replaced by a result from [8].”