Critical point theory and the asymmetric beam equations

초록

We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We first show that the system has a positive solution under suitable conditions, and next show that the system has another solution under the same conditions by the linking arguments. Key Words and Phrases: System of the critical growth suspension bridge equations, linking arguments, eigenvalue of a matrix, boundary value problem.