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.
Felli, V., Pistoia, A. (2006). Existence of blowing-up solutions for a nonlinear elliptic equation with hardy potential and critical growth. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 31(1), 21-56 [10.1080/03605300500358145].
Existence of blowing-up solutions for a nonlinear elliptic equation with hardy potential and critical growth
FELLI, VERONICA
;
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 in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Existence_of_blowing-up.pdf
Solo gestori archivio
Tipologia di allegato:
Author’s Accepted Manuscript, AAM (Post-print)
Dimensione
310.49 kB
Formato
Adobe PDF
|
310.49 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
