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20122023
most citedSingular mean field equations on compact Riemann surfaces

2 citations · 3 across the 7 of their papers we have counts for

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Showing 2017Show all

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math.AP2017

Nonradial solutions for the Hénon equation close to the threshold

Pablo Figueroa, Sérgio L. N. Neves

We consider the Hénon problem \begin{equation*} \left\{ \begin{array} - - Δu = |x|^α u^{\frac{N+2+2α}{N-2}-\varepsilon} & \ \ \text{in} \ B_1, \\ u > 0 & \ \ \text{in} \ B_1, \\ u=…

math.AP2017

Bubbling solutions for Moser-Trudinger type equations on compact Riemann surfaces

Pablo Figueroa, Monica Musso

We study an elliptic equation related to the Moser-Trudinger inequality on a compact Riemann surface , $$ Δ_g u+λ\Biggl(ue^{u^2}-{1\over |S|} \int_S ue^{u^2} dv_g\Biggl)=0,\…