In this paper we study the nonlinear Schrvdinger-Maxwell equations {-Δu + V(x)u + φu = up-1u in R3, -Δφ = u2 in R3. If V is a positive constant, we prove the existence of a ground state solution (u, φ)for 2 < p < 5. The non-constant potential case is treated for 3 < p < 5, and V possibly unbounded below.
A note on the ground state solutions for the nonlinear Schrödinger-Maxwell equations / Azzollini, A.; Pomponio, Alessio. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 2:1(2009), pp. 93-104.
A note on the ground state solutions for the nonlinear Schrödinger-Maxwell equations
POMPONIO, Alessio
2009-01-01
Abstract
In this paper we study the nonlinear Schrvdinger-Maxwell equations {-Δu + V(x)u + φu = up-1u in R3, -Δφ = u2 in R3. If V is a positive constant, we prove the existence of a ground state solution (u, φ)for 2 < p < 5. The non-constant potential case is treated for 3 < p < 5, and V possibly unbounded below.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.
