Hardy–Sobolev critical elliptic equations with boundary singularities
By Nassif Ghoussoub, X. Kang. 2004
157 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/385a2c6c0edcedb77ade6ce98298a13a51465f5c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Shuangjie Peng
- Changshou Lin
- Yanyan Li
- Zhitao Zhang
- M. Fall
- Nassif Ghoussoub
- Thomas Bartsch
- H. Wadade
In Mathematical Physics
- Shuangjie Peng
- Nassif Ghoussoub
- Zhitao Zhang
- Changshou Lin
- H. Wadade
- F. Robert
- Chun-Hsiung Hsia
- Thomas Bartsch
Citations in the corpus
- Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities (2007, result): “The following non-existence results are similar to [21].”
- A Nonlinear Elliptic PDE with Two Sobolev–Hardy Critical Exponents (2011, background): “When 0 ∈ ∂Ω, this problem was first studied by Ghoussoub-Kang [14] and GhoussoubRobert [15], also see [11].”
- Hardy—Poincaré inequalities with boundary singularities (2010, background): “1, by i) and by the existence theorems proved in [8], [9] and [10] for a related superlinear problem.”
- On the sharp constant for the weighted Trudinger–Moser type inequality of the scaling invariant form (2014, background): “For instance, the attainability for the best constant of the Caffarelli–Kohn–Nirenberg inequality (1.6) was extensively studied, see e.g. Chern and Lin [7], Ghoussoub and Kang [9], Ghoussoub and Robert [10,11] and Hsia, Lin and Wadade [12], where the authors proved the existence of a maximizer assoc”
- Revisiting an idea of Brézis and Nirenberg (2010, methodology): “In [9], among other things, Ghoussoub and Kang considered positive solutions of the following equation: ⎧⎨ ⎩ u + λu + u2 ∗(s)−1 |x|s = 0, u > 0 in Ω, u = 0 on ∂Ω, (1.”
- Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth (2005, background): “To prove the growth estimates on the critical values cp,k, one can follow [41] (see also [20]) and identify a cohomotopic family of sets Fk of dimension k in such a way that if Dk denotes the ball in Ek of radius Rk and if γ ∈ Hk, then γ(Dk) ∈ Fk.”