Find the solution u(r,)of Laplaces equation urr+(1/r)ur+(1/r2)u=0 outside the circle r=a, that satisfies the boundary condition u(a,)=f(),0

Find the solution u(r,θ)of Laplace’s equation urr+(1/r)ur+(1/r2)uθθ=0 outside the circle r=a, that satisfies the boundary condition u(a,θ)=f(θ),0≤θ<2π,on the circle. Assume that u(r,θ)is single-valued and bounded for r>a.