Skip to main content
SpringerLink
Log in

Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

Let Ω be a planar convex domain which is symmetric with respect to each coordinate axes. In this paper we give a simple and very short proof, based on the maximum principle, of the sharp lower bound for the spectral gap of the Dirichlet Laplacian in Ω.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Mathematics Department, Purdue University, West Lafayette, IN 47907, USA.¶E-mail: banuelos@math.purdue.edu, , , , , , US

    Rodrigo Bañuelos

  2. Departamento de Matemática, UTFSM, Valparaíso, Chile. E-mail: pkroeger@mat.utfsm.cl, , , , , , CL

    Pawel Kröger

Authors
  1. Rodrigo Bañuelos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pawel Kröger
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 21 May 2001 / Accepted: 29 June 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bañuelos, R., Kröger, P. Gradient Estimates for the Ground State¶Schrödinger Eigenfunction and Applications. Commun. Math. Phys. 224, 545–550 (2001). https://doi.org/10.1007/s002200100551

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200100551

Search

Navigation