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Localization of Laplacian Eigenfunctions in Simple and Irregular Domains
The primary goal of the thesis is to study localization of Laplacian eigenfunctions in bounded domains when an eigenfunction is mainly supported by a small region of... -
Brownian motion and Harmonic functions on Sol(p,q)
The Lie group Sol(p,q) is the semidirect product induced by the action of the real numbers R on the plane R^2 which is given by (x,y) --> (exp{p z} x, exp{-q z} y),... -
Isoperimetric control of the Steklov spectrum
International audience -
Upper bounds for the first eigenvalue of the Laplacian in terms of anisiotrop...
19 pages, à paraître dans Results in Mathematics -
On some partial differential equation for non coercive functional and critica...
International audience -
A pinching theorem for the first eigenvalue of the laplacian on hypersurfaces...
In this paper, we give pinching Theorems for the first nonzero eigenvalue $\lambda$ of the Laplacian on the compact hypersurfaces of the Euclidean space. Indeed, we...
