TY - JOUR AU - Jebari Rochdi PY - 2022/04/26 Y2 - 2024/03/29 TI - On the high energy solitary waves solutions for a generalized KP equation in bounded domain JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 74 IS - 3 SE - Research articles DO - 10.37863/umzh.v74i3.6253 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/6253 AB - UDC 517.9We are mainly concerned with the existence of infinitely many high energy solitary waves solutions for a class of generalized Kadomtsev – Petviashvili equation (KP equation) in bounded domain. The aim of this paper is to fill the gap in the relevant literature stated in a previous paper (J. Xu, Z. Wei, Y. Ding, Stationary solutions for a generalized Kadomtsev – Petviashvili equation in bounded domain, Electron. J. Qual. Theory Differ. Equ., 2012, № 68, 1 – 18 (2012)). Under more relaxed assumption on the nonlinearity involved in KP equation, we obtain a new result on the existence of infinitely many high energy solitary waves solutions via a variant fountain theorems. ER -