Existence of positive solutions for a class of elliptic equations with a singular Hardy potential and a critical nonlinearity is investigated. It is shown how existence depends not only on the size but also on the shape of the involved potentials.
Abdellaoui, B., Felli, V., Peral, I. (2004). Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole R^N. ADVANCES IN DIFFERENTIAL EQUATIONS, 9, 481-508.
Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole R^N
FELLI, VERONICA;
2004
Abstract
Existence of positive solutions for a class of elliptic equations with a singular Hardy potential and a critical nonlinearity is investigated. It is shown how existence depends not only on the size but also on the shape of the involved potentials.
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