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

Mathematics – Analysis of PDEs

Scientific paper

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65 pages

Scientific paper

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 $\Omega$ of $ \rn$ ($n\geq 3$) involving the critical Hardy-Sobolev exponent $\crit =\frac{2(n-s)}{n-2}$ where $0

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