Abstract
We study the following nonlinear scalar field equationHere , m > 0 is a given constant and arises as a Lagrange multiplier. In a mass subcritical case but under general assumptions on the nonlinearity f , we show the existence of one nonradial solution for any , and obtain multiple (sometimes infinitely many) nonradial solutions when N = 4 or . In particular, all these solutions are sign-changing.
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