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Regularity of the eigenfunctions associated to perturbed laplacian on a compact manifold

Let $M$ be a closed manifold, I consider first order laplacian perturbation associated to a density $\rho \in \mathcal{C}^\infty(M)$ with $\rho > 0$ of the form : $$ \Delta_{\rho} f = \Delta f + \...
Aymeric Martin's user avatar