Using variational methods we prove some results about existence and multiplicity of positive bound states of to the following Schrodinger-Poisson system (SP): -Delta u+V(x)u+K(x)phi(x)u=u^5; -Delta phi =K(x)u^2 x in R^3. We remark that (SP) exhibits a ``double'' lack of compactness because of the unboundedness of R^3 and the critical growth of the nonlinear term and that in our assumptions ground state solutions of (SP) do not exist. "The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM "
Cerami, G., Molle, R. (2019). Multiple positive bound states for critical Schrödinger-Poisson systems. ESAIM. COCV, 25 [10.1051/cocv/2018071].
Multiple positive bound states for critical Schrödinger-Poisson systems
Molle R.
2019-01-01
Abstract
Using variational methods we prove some results about existence and multiplicity of positive bound states of to the following Schrodinger-Poisson system (SP): -Delta u+V(x)u+K(x)phi(x)u=u^5; -Delta phi =K(x)u^2 x in R^3. We remark that (SP) exhibits a ``double'' lack of compactness because of the unboundedness of R^3 and the critical growth of the nonlinear term and that in our assumptions ground state solutions of (SP) do not exist. "The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM "| File | Dimensione | Formato | |
|---|---|---|---|
|
Cerami_Molle_cocv180037.pdf
solo utenti autorizzati
Descrizione: File della rivista protetto da Copyright
Tipologia:
Versione Editoriale (PDF)
Licenza:
Copyright dell'editore
Dimensione
523.18 kB
Formato
Adobe PDF
|
523.18 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.
