| n this dissertation, We study the Dirichlet Problem ;Our Method uses the Fucik spectrum explicitly. Knowing that a point is not in spectrum gives better control on the asymptotic behavior of the approximating sequences converging to a critical value. We also use a theorem by H. Brezis, and L. Nirenberg that allows to get multiple solutions to our Dirichlet problem without using Morse Theory.;Main result. Let... |
