Periodic Navier Solutions for the Plate Equation with Non-Monotone Nonlinearities: the Multidimensional Case

Abstract

AbstractWe discuss the solvability of the periodic Navier problem for the plate equation with forced vibrationsxtt(t, y)+Δ2x(t, y)+l(t, y, x(t, y)) = 0 in higher dimensions with side lengths being irrational numbers and the nonlinearity being superlinear. We also derive a new dual variational method.