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Results tagged with elliptic-pde
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user 43022
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
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What is the first eigenvalue of $p$-Laplacian on unit sphere $S^n$?
For the case $n=1$, it is well known that for the domain $\Omega = (a,b)$, the first eigenvalue for the $p$-Laplacian is given by
$$\lambda_1 = (p-1)(\frac{\pi_p}{b-a}),$$
where $$\pi_p = 2\int_0^1 \f …
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