Selfdual Gauge Field Vortices: An Analytical Approach

By G. Tarantello. 2008

134 citations recorded by the source corpus.

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Citations in the corpus

Nondegeneracy of entire solutions of a singular Liouvillle equation (2012, background): “We refer the reader to [11, 12, 16] and references therein for recent developments in this subject and related issues.”
A thermodynamical formalism for Monge–Ampère equations, Moser–Trudinger inequalities and Kähler–Einstein metrics (2010, background): “65 in [81] for the Riemann surface case).”
Mean Field Equation of Liouville Type with Singular Data: Topological Degree (2015, methodology): “It is well-known that if … †, where † WD ˚ 8m C†q2A8 .1C ˛.q// j A fq1; : : : ; qN g; m 2 N C [ f0g n f0g; MEAN FIELD EQUATION: TOPOLOGICAL DEGREE 889 then the a priori bound holds; i.e., there exists a constant C such that for all solutions of (1.4), ju.x/j C 8x 2M: The study of a priori bounds beg”
Blow-up analysis of a nonlocal Liouville-type equation (2015, unknown): “, [Tarantello 2008].”
The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions (2008, methodology): “2) is uniformly bounded in L(1)loc(R(2)), we can use Harnack’s inequality (see for instance [2, 17] in similar cases) to deduce that Wn is uniformly bounded in L1loc.”
Weighted barycentric sets and singular Liouville equations on compact surfaces (2011, background): “This class of problems has proved to be relevant in other physical frameworks, such as the study of the statistical mechanics of point vortices in the mean field limit ([27], [9], [10]) and the abelian Chern-Simons Theory, as discussed in [40].”