In this article, we establish the existence of solutions to the following critical Hartree equation: (Formula Presented) where (Formula Presented) is the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality, N ≥ 3, 0 < µ < 4, Ωε := Ω\B(0, ε) where Ω is a bounded smooth domain in RN which contains the origin, and ε is a positive parameter. As ε goes to zero, we construct a bubble solution which blows up at the origin.
Bubble solution for the critical Hartree equation in a pierced domain
Ghimenti, Marco Gipo;Pistoia, Angela
2025-01-01
Abstract
In this article, we establish the existence of solutions to the following critical Hartree equation: (Formula Presented) where (Formula Presented) is the upper critical exponent in the sense of the Hardy-Littlewood-Sobolev inequality, N ≥ 3, 0 < µ < 4, Ωε := Ω\B(0, ε) where Ω is a bounded smooth domain in RN which contains the origin, and ε is a positive parameter. As ε goes to zero, we construct a bubble solution which blows up at the origin.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
