Results 91 to 100 of about 8,080 (219)

Eigenfunctions of Laplace operators [PDF]

open access: yesBulletin of the American Mathematical Society, 1972
openaire   +2 more sources

The Laplace operator with potential on the 2-sphere

open access: yesAdvances in Mathematics, 1979
where for any cotangent vector v, g(v) is the average of q over the geodesic with initial tangent vector (associated by the Riemannian metric with) v. In particular the points (1) fill out a full interval if 4 is not identically zero. In all cases except the n-sphere this holds if q is itself not identically zero; but for the n-sphere 4 is identically ...
openaire   +2 more sources

Critical Points of the Determinant of the Laplace Operator

open access: yesJournal of Functional Analysis, 1994
The determinant of the Laplace operator is a function on the set of metrics on a compact manifold. The author considers one-parameter variations of metrics of fixed volume in the conformal class of given metric and finds the condition for a metric to be a critical point of the determinant function.
openaire   +2 more sources

Singular integrals of the compositions of Laplace-Beltrami and Green's operators

open access: yesJournal of Inequalities and Applications, 2011
We establish the Poincaré-type inequalities for the composition of the Laplace-Beltrami operator and the Green's operator applied to the solutions of the non-homogeneous A-harmonic equation in the John domain.
Ding Shusen, Fang Ru
doaj  

Home - About - Disclaimer - Privacy