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Higher Symmetries of the Laplacian via Quantization
Symmetry algebra Laplacian Quantization Conformal geometry Minimal nilpotent orbit
2011/9/22
Abstract: We develop a new approach, based on quantization methods, to study higher symmetries of invariant differential operators. We focus here on conformally invariant powers of the Laplacian over ...
Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications
Weighted Laplacians Feller property stochastic completeness essential spectrum gradient Ricci solitons
2011/8/26
Abstract: The aim of this paper is to suggest a new viewpoint to study qualitative properties of solutions of semilinear elliptic PDE's defined outside a compact set. The relevant tools come from spec...
Some properties of the first eigenvalue of the p(x)-laplacian on riemannian manifolds
Variable exponent Lebesgue and Sobolev spaces first eigenvalue Riemannian manifolds p(x)-Laplacian
2010/2/25
The main result of the present paper establishes a stability property of the first eigenvalue of the associated problem which deals with the p(x)-Laplacian on Riemannian manifolds with Dirichlet bound...