A singular Moser-Trudinger embedding and its applications

By Adimurthi, Kunnath Sandeep. 2007

292 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/572c034525fac3773b39d56303fc2805f05412b7

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

In Applied Mathematics

1. G. Lu
2. Nguyen Huong Lam
3. Hanli Tang
4. Caifeng Zhang
5. G. Csató
6. Prosenjit Roy
7. Y. Yang
8. Qiaohua Yang

In Computational Theory and Mathematics

1. G. Lu
2. Nguyen Huong Lam
3. Hanli Tang
4. G. Csató
5. Prosenjit Roy
6. Caifeng Zhang
7. Y. Yang
8. Federica Sani

In Mathematical Physics

1. Nguyen Huong Lam
2. G. Lu
3. Hanli Tang
4. G. Csató
5. Prosenjit Roy
6. Y. Yang
7. Caifeng Zhang
8. Xiaobao Zhu

Citations in the corpus

• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, background): “For instance, we refer the reader to [10, 25, 32] for the sharp Trudinger–Moser inequality with mean value zero, to [3] for the singular Trudinger–Moser inequality and to [12] for the sharp affine Trudinger–Moser inequalities.”
• Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs (2014, unknown): “For instance, Adimurthi and Sandeep in [5] established an interpolation of Hardy inequality and Moser–Trudinger inequality and proved that with Ω ⊂ Rn, n ≥ 2, |Ω| < ∞, there exists a constant C0 = C0(n) > 0 such that 1 |Ω|1− α n ”
• Sharp singular Adams inequalities in high order Sobolev spaces (2011, background): “We refer the interested reader to [13], [16], [3], [7], [6], [9], [11], [8], [20], [21], [19], [27, 28], [49], [50] and the references therein.”
• Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions (2014, methodology): “see Proposition 7). Section 4. We show that the supremum is attained if Ω is the ball by using the result of Carleson-Chang [3] (see Theorem 12) and the transformation introduced by Adimurthi-Sandeep [1], which relates FΩ to the classical Moser-Trudinger functional for radial functions (see Lemma 10”
• Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$ (2011, background): “By the singular Trudinger-Moser inequality on bounded domains [3], we get the conclusion.”