We prove the existence of p-harmonic functions under the form u(r, sigma) = r(-beta)omega(sigma) in any cone C-S generated by a spherical domain S and vanishing on partial derivative C-S. We prove the uniqueness of the ...

We consider the elliptic system Delta u = u(p)v(q), Delta v = u(r)v(s) in Omega with the boundary conditions partial derivative u/partial derivative eta = lambda u, partial derivative v/partial derivative eta = mu v on ...