Nasri, Yasmina2021-08-112021-08-112007-06-06Nasri, Y. (2007). An existence result for elliptic problems with singular critical growth. <i>Electronic Journal of Differential Equations, 2007</i>(84), pp. 1-6.1072-6691https://hdl.handle.net/10877/14279We prove the existence of nontrivial solutions for the singular critical problem -Δu - μ u/|x|2 = λƒ(x)u + u2*-1 with Dirichlet boundary conditions. Here the domain is a smooth bounded subset of ℝN, N ≥ 3, and 2* = 2N/N-2 which is the critical Sobolev exponent.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalPalais-Smale conditionSingular potentialSobolev exponentMountain-Pass TheoremArticle