Abstract
We mainly deal with the existence of infinitely many high-energy solitary wave solutions for a class of generalized Kadomtsev-Petviashvili equations (KP equations) in bounded domains. Our aim is to fill the gap in the relevant literature mentioned in a previous paper (J. Xu, Z.Wei, and Y. Ding, Electron. J. Qual. Theory Different. Equat., 2012, No. 68, 1 (2012)). Under more relaxed assumption on the nonlinearity involved in the KP equation, we obtain a new result on the existence of infinitely many high-energy solitary wave solutions via a variant of the fountain theorem.