Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space
Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space
Abstract We consider the Hardy–Schrödinger operator <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msub> <m:mi>L</m:mi> <m:mi>γ</m:mi> </m:msub> <m:mo>:=</m:mo> <m:mrow> <m:mrow> <m:mo>-</m:mo> <m:msub> <m:mi mathvariant="normal">Δ</m:mi> <m:msup> <m:mi>𝔹</m:mi> <m:mi>n</m:mi> </m:msup> </m:msub> </m:mrow> <m:mo>-</m:mo> <m:mrow> <m:mi>γ</m:mi> <m:mo></m:mo> <m:msub> <m:mi>V</m:mi> <m:mn>2</m:mn> </m:msub> </m:mrow> </m:mrow> </m:mrow> </m:math> {L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic space <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> …