Abstract

In this paper the results of some researches concerning scalar field equations are summarized. The interest is focused on the question of existence and multiplicity of stationary solutions; so the model equation $-Delta u + a(x)u = |u|^{p-1}u$ in $ eal^N$, is considered. The difficulties and the ideas introduced to face them as well as known results are discussed. Some recent advances concerning existence and multiplicity of multi-bump solutions are described in detail. The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM.

Autore Pugliese

• Cerami Giovanna

Tutti gli autori

• CERAMI G

Titolo volume/Rivista

PROGRESS IN NONLINEAR DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS

Anno di pubblicazione

2014

ISSN

1421-1750

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

Non Disponibile

Ultimo Aggiornamento Citazioni

Non Disponibile

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile