Moser-Trudinger and logarithmic HLS inequalities for systems

51 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Some existence results for the Toda system on closed surfaces (2007, background): “The structure of the functionalJ strongly depends on the values of 1 and 2. For example, the condition i 4 for both i = 1,2 has been proven in [18] to be necessary and sucient for J to be bounded from below, see Theorem 2.1 (we refer also to [ 27 ] and [28]).”
The blow up analysis of solutions of the elliptic sinh-Gordon equation (2007, unknown): “It was showed in [25] and [33] that if λ1 ≤ 8π and λ2 ≤ 8π then there exists a positive constant C such that Jλ1,λ2(u) ≥ −C, for u ∈ H1 0 ( ).”