most citedConcentration Estimates for Emden-Fowler Equations with Boundary Singularities and Critical Growth

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math.AP2005

Elliptic Equations with Critical Growth and a Large Set of Boundary Singularities

Nassif Ghoussoub, Frederic Robert

We solve variationally certain equations of stellar dynamics of the form in a domain of $\rn$,…

math.AP2005★ 3 cited

Concentration Estimates for Emden-Fowler Equations with Boundary Singularities and Critical Growth

Nassif Ghoussoub, Frederic Robert

We establish -among other things- existence and multiplicity of solutions for the Dirichlet problem $\sum_i\partial_{ii}u+\frac{|u|^{\crit-2}u}{|x|^s}=0$ on smooth bounded domains…

math.AP2005

The Effect of Curvature on the Best Constatnt in the Hardy-Sobolev Inequalities

N. Ghoussoub, F. Robert

We address the question of attainability of the best constant in the following Hardy-Sobolev inequality on a smooth domain of \mathbb{R}^n: $$ μ_s (Ω) := \inf \{\int_Ω| \nabla…