THE PROBLEM OF OBSTACLE FOR THE FUNDAMENTAL EIGENVALUE

Abstract

By using the tools of derivatives with respect to the domain and the Bernoulli’s free boundary problem for Laplacian operator we give sufficient conditions in the case of placement obstacle problems for Laplacian Dirichlet eigenvalue. AMS Subject Classification: 48A60, 49A80, 83Q15, 59K46, 95C41, 59N55