Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
The average of a nonconstant homogenioushomogeneous harmonic polynomial over the unit sphere (with the center at the origin) is zero and so it cannot be positive everywhere on $S$.
The average of a nonconstant homogenious harmonic polynomial over the unit sphere (with the center at the origin) is zero and so it cannot be positive everywhere on $S$.
The average of a nonconstant homogeneous harmonic polynomial over the unit sphere (with the center at the origin) is zero and so it cannot be positive everywhere on $S$.
The average of a nonconstant homogenious harmonic polynomial over the unit sphere (with the center at the origin) is zero and so it cannot be positive everywhere on $S$.
