In this paper we use variational methods to establish existence of solitary waves for a class of generalized Kadomtsev-Petviashvili (GKP) equation in R-N. The positive and zero mass cases are considered. The main argument is to find a Palais Smale sequence satisfying a property related to Pohozaev identity, as in [21], which was used for the first time by [23].
Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in R-N with positive and zero mass / Alves, Claudianor O.; Miyagaki, Olímpio H.; Pomponio, Alessio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 477:1(2019), pp. 523-535. [10.1016/j.jmaa.2019.04.044]
Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in R-N with positive and zero mass
Alessio Pomponio
2019-01-01
Abstract
In this paper we use variational methods to establish existence of solitary waves for a class of generalized Kadomtsev-Petviashvili (GKP) equation in R-N. The positive and zero mass cases are considered. The main argument is to find a Palais Smale sequence satisfying a property related to Pohozaev identity, as in [21], which was used for the first time by [23].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
