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].
2019
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/119561
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