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math.AP2004
A shadowing lemma for abelian Higgs vortices
Marta Macri', Margherita Nolasco, Tonia Ricciardi
We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to const…
math.AP2004★ 3 cited
A sharp Hölder estimate for elliptic equations in two variables
Tonia Ricciardi
We prove a sharp Hölder estimate for solutions of linear two-dimensional, divergence form elliptic equations with measurable coefficients, such that the matrix of the coefficients…