An Improved Geometric Inequality via Vanishing Moments, with Applications to Singular Liouville Equations
By Daniele Bartolucci, A. Malchiodi. 2012
53 citations recorded by the source corpus.
We consider a class of singular Liouville equations on compact surfaces motivated by the study of Electroweak and Self-Dual Chern-Simons theories, the Gaussian curvature prescription with conical singularities and Onsager’s description of turbulence. We analyse the problem of existence variationally, and show how the angular distribution of the conformal volume near the singularities may lead to improvements in the Moser-Trudinger inequality, and in turn to lower bounds on the Euler-Lagrange functional. We then discuss existence and non-existence results.
Subfields: Applied Mathematics, Finance
View Paper: https://www.semanticscholar.org/paper/636ef445fd6f962e8e01d2620930ab0bcf57e3a0
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In Applied Mathematics
- Lei Zhang
- Jun-cheng Wei
- Changshou Lin
- A. Malchiodi
- Yanyan Li
- Manuel del Pino
- Shusen Yan
- Shuangjie Peng
In Finance
Citations in the corpus
- Classification of blowup limits for SU(3) singular Toda systems (2013, methodology): “References [Bartolucci and Malchiodi 2013] D. Bartolucci and A. Malchiodi, “An improved geometric inequality via vanishing moments, with applications to singular Liouville equations”, Comm. Math.”