We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity includes an eigenvalue of infinite multiplicity has a solution. The solution is obtained through an iteration scheme which provides a priori estimates.
© 1988 Pacific Journal of Mathematics
Castro, Alfonso and Unsurangsie, Sumalee, "A Semilinear Wave Equation with Nonmonotone Nonlinearity" (1988). All HMC Faculty Publications and Research. 481.