Bifurcation of Solutions from Infinity at an Infinity Multiplicity Eigenvalue for a Semilinear Double-Periodic Hyperbolic Problem

Abstract

We consider the existence of weak solutions to the wave equationssubject to the double-periodic conditions . Whenthe solutions goes to infinity. We are no assuming monotonicity on the nonlinearity . We use Leray-Schauder Degree Theory and Contraction Principle.

Keywords

• ecuación de onda semilineal, bifurcación desde infinito