We study the existence, uniqueness and multiplicity for the sublinear fractional problem (−∆)su + V (x)u + a(x)|u|p sgn(u) = f in RN, where s ∈ (0, 1), N > 2s, (−∆)s is the fractional Laplacian, p ∈ (0, 1), f ∈ L2(RN ) ∩ Lp+1/p (RN ), V: RN → R and a: RN → R are positive bounded functions.
Nonhomogeneous sublinear fractional Schrödinger equations / Isernia, T.. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2018:25(2018), pp. 149-165.
Nonhomogeneous sublinear fractional Schrödinger equations
Isernia T.
2018-01-01
Abstract
We study the existence, uniqueness and multiplicity for the sublinear fractional problem (−∆)su + V (x)u + a(x)|u|p sgn(u) = f in RN, where s ∈ (0, 1), N > 2s, (−∆)s is the fractional Laplacian, p ∈ (0, 1), f ∈ L2(RN ) ∩ Lp+1/p (RN ), V: RN → R and a: RN → R are positive bounded functions.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.
