Semilinear Elliptic Equations Involving Fractional Hardy Operators

Our aim in this article is to study semilinear elliptic equations involving a fractional Hardy operator, an absorption and a Radon source in a weighted distributional sense. We show various scenarios, produced by the combined effect of the fractional Hardy potential, the growth of the absorption term and the concentration of the measure, in which existence and uniqueness results holds.

43 pages

Related Organizations

Masaryk University
Czech Republic
National and Kapodistrian University of Athens
Greece
Jiangxi Normal University
China (People's Republic of)

Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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