We prove the existence of a positive solution to -Δu - λ/|x|2u = k(x)u2*-1, u ∈ script D sign1,2(IRN), which blows-up at a suitable critical point of k as the positive parameter λ goes to zero.
Existence of blowing-up solutions for a nonlinear elliptic equation with hardy potential and critical growth / Veronica, Felli; Pistoia, Angela. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 31:1(2006), pp. 21-56. [10.1080/03605300500358145]
Existence of blowing-up solutions for a nonlinear elliptic equation with hardy potential and critical growth
PISTOIA, Angela
2006
Abstract
We prove the existence of a positive solution to -Δu - λ/|x|2u = k(x)u2*-1, u ∈ script D sign1,2(IRN), which blows-up at a suitable critical point of k as the positive parameter λ goes to zero.File allegati a questo prodotto
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