Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
We use variational techniques to prove existence and nonexistence results for the following singular elliptic system: {div(vertical bar del u vertical bar(p-2)del u) = theta z(q)/u(1-0), u > 0 in Omega is an element of W-0(,1p) (Omega), -div(vertical bar del z vertical bar(p-2)del z) = qz(q-1)u(theta), z > 0 in Omega, z is an element of W-0(1,p) (Omega), where Omega is a bounded open set in RN (N >= 2), p > 1, q > (land 0 < 0 < 1.