Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces

Details Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces

2009-02-12

arxiv.org/abs/0902.2107v1

Indiana University Mathematics Journal 58, 1 (2009) 335--350

Mathematics

Differential Geometry

Indiana University Math. Journal

Scientific paper

This paper deals with eigenvalue optimization problems for a family of natural Schr\"odinger operators arising in some geometrical or physical contexts. These operators, whose potentials are quadratic in curvature, are considered on closed surfaces immersed in space forms and we look for geometries that maximize the eigenvalues. We show that under suitable assumptions on the potential, the first and the second eigenvalues are maximized by (round) spheres.

Affiliated with

Also associated with

No associations

Rating

Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556494