# Optimal measures for the fundamental gap of Schrödinger operators

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 1, page 194-205
- ISSN: 1292-8119

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topVarchon, Nicolas. "Optimal measures for the fundamental gap of Schrödinger operators." ESAIM: Control, Optimisation and Calculus of Variations 16.1 (2010): 194-205. <http://eudml.org/doc/250722>.

@article{Varchon2010,

abstract = {
We study the potential which minimizes the fundamental gap of the
Schrödinger operator under the total mass constraint. We consider
the relaxed potential and prove a regularity result for the optimal
one, we also give a description of it. A consequence of this result
is the existence of an optimal potential under L1 constraints.
},

author = {Varchon, Nicolas},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Schrödinger operator; eigenvalue problems; measure
theory; shape optimization; measure theory},

language = {eng},

month = {1},

number = {1},

pages = {194-205},

publisher = {EDP Sciences},

title = {Optimal measures for the fundamental gap of Schrödinger operators},

url = {http://eudml.org/doc/250722},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Varchon, Nicolas

TI - Optimal measures for the fundamental gap of Schrödinger operators

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/1//

PB - EDP Sciences

VL - 16

IS - 1

SP - 194

EP - 205

AB -
We study the potential which minimizes the fundamental gap of the
Schrödinger operator under the total mass constraint. We consider
the relaxed potential and prove a regularity result for the optimal
one, we also give a description of it. A consequence of this result
is the existence of an optimal potential under L1 constraints.

LA - eng

KW - Schrödinger operator; eigenvalue problems; measure
theory; shape optimization; measure theory

UR - http://eudml.org/doc/250722

ER -

## References

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