hi I have the following eigenvalue problem
-(x2y')'=λy for 1<x<2
y(1)=y(2)=0
I tried plugging an equation y=xa
and you get the equation
a2+a+λ=0
so for this I get that λ<1/4 to hava a solution. So does this mean, every λ smaller than 1/4 is an eigenvalue?
do you know what else I...
Does anybody know a web page or a book, or the general method to find the eigenvalues and the eigenfunctions of
laplacian u =lambda u inside the circle
u=0 in the boundary
thanks