The solution u ( r , θ ) of Laplace’s equation u r r + 1 r u r + 1 r 2 u θ θ = 0 , r > a , 0 < θ < 2 π , outside the circle r = a , that satisfies the boundary condition u ( a , θ ) = f ( θ ) , 0 ≤ θ < 2 π on the circle.

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Chapter 10.8, Problem 5P

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The solution u(r,θ) of Laplace’s equation urr+1rur+1r2uθθ=0, r>a, 0<θ<2π, outside the circle r=a, that satisfies the boundary condition u(a,θ)=f(θ), 0≤θ<2π on the circle.

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