10 citations · 23 across the 6 of their papers we have counts for
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math.AP2002★ 10 cited
On a nonlinear elliptic system from Maxwell-Chern-Simons vortex theory
Tonia Ricciardi
We define an abstract nonlinear elliptic system, admitting a variational structure, and including the vortex equations for some Maxwell-Chern-Simons gauge theories as special cases…
math.AP2002
A sharp Sobolev inequality on Riemannian manifolds
YanYan Li, Tonia Ricciardi
Let (M,g) be a smooth compact Riemannian manifold without boundary of dimension n>=6. We prove that {align*} \|u\|_{L^{2^*}(M,g)}^2 \le K^2\int_M\{|\nabla_g u|^2+c(n)R_gu^2\}dv_g +…