Hi - wondering if you can help me find a solution of:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\nabla^{2}u-\frac{u}{\lambda^{2}}=a\delta(r)[/itex]

for spherical symmetry in 3D with the condition that [itex]\lim_{r\rightarrow \infty}u=0[/itex]. It can be rewritten in spherical coordinates as

[itex]\frac{1}{r^{2}}\frac{\partial}{\partial r}\left(r^{2}\frac{\partial u}{\partial r}\right)-\frac{u}{\lambda^{2}}=a\delta(r)[/itex].

Any help would be much appreciated! :)

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# Solution that doesn't diverge at origin

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