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I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $ \Delta_p = \nabla\cdot( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.

Edit2: I should add that I found the reference, but it's out of my field so really I'm looking for someone to 'dumb it down' for me. The answer to this question contains the reference.

I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $ \Delta_p = \nabla\cdot( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.

Edit2: I should add that I found the reference, but it's out of my field so really I'm looking for someone to 'dumb it down' for me. The answer to this question contains the reference.

I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $ \Delta_p = \nabla\cdot( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.

I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $ \Delta_p = \nabla\cdot( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.

Edit2: I should add that I found the reference, but it's out of my field so really I'm looking for someone to 'dumb it down' for me. The answer to this question contains the reference.

I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $\nabla( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.

I'm just looking for some quick and dirty intuition(and/or reading material) about the following:

I read that Hodge duality provides a way to interchange the p-Laplacian $ \Delta_p = \nabla\cdot( |\nabla|^{(p-2)}\nabla)$ and the q-Laplacian, where $1/p + 1/q = 1$. Can somebody elaborate on how this connection is made or provide a reference?

Edit: I guess I should've mentioned I'm mostly interested in connections related to the spectrum, i.e. can I say something about the spectrum of $\Delta_p$ based on that of $\Delta_q$.