In this note we expose some results proved in d’Avenia et al. [8] concerning an elliptic problem in RN which involves two nonlocal operators: the fractional Laplacian and a convolution term of Hartree type. This equation has been called fractional Choquard equation. The results obtained concern regularity of weak solutions, existence and properties of ground states, as well as multiplicity and nonexistence of solutions.
Existence results for a doubly nonlocal equation / D'Avenia, Pietro; Siciliano, Gaetano; Squassina, Marco. - In: SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1982-6907. - STAMPA. - 9:2(2015), pp. 311-324. [10.1007/s40863-015-0023-3]
Existence results for a doubly nonlocal equation
d'Avenia, Pietro;
2015-01-01
Abstract
In this note we expose some results proved in d’Avenia et al. [8] concerning an elliptic problem in RN which involves two nonlocal operators: the fractional Laplacian and a convolution term of Hartree type. This equation has been called fractional Choquard equation. The results obtained concern regularity of weak solutions, existence and properties of ground states, as well as multiplicity and nonexistence of solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
