Subsolutions and supersolutions in a free boundary problem

Antoine Henrot

doi:10.1007/BF02559524

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

Please wait...

No Project Euclid account? Create an account
or Sign in with your institutional credentials

We can help you reset your password using the email address linked to your Project Euclid account.

Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches. Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content. Contact customer_support@projecteuclid.org with any questions.
View Project Euclid Privacy Policy

All Fields are Required

* First Name

* Last/Family Name

* Email

* Password

Password Requirements: Minimum 8 characters, must include as least one uppercase, one lowercase letter, and one number or permitted symbol Valid Symbols for password:
~ Tilde
! Exclamation Mark
@ At sign
$ Dollar sign
^ Caret
( Opening Parenthesis
) Closing Parenthesis
_ Underscore
. Period

* Confirm Password

Please wait...

Web Account created successfully

Browse
Resources
About

Advanced Search

Home > Journals > Ark. Mat. > Volume 32 > Issue 1 > Article

March 1994 Subsolutions and supersolutions in a free boundary problem

Antoine Henrot

Author Affiliations +

Antoine Henrot¹
¹Laboratoire de Mathématiques, Université de Besançon

Ark. Mat. 32(1): 79-98 (March 1994). DOI: 10.1007/BF02559524

ABOUT
FIRST PAGE
CITED BY
REFERENCES
DOWNLOAD PAPER SAVE TO MY LIBRARY

PERSONAL SIGN IN
Full access may be available with your subscription

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

No Project Euclid account? Create an account
or Sign in with your institutional credentials

PURCHASE SINGLE ARTICLE

This article is only available to subscribers. It is not available for individual sale.

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

No Project Euclid account? Create an account

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Abstract

We begin by giving some results of continuity with respect to the domain for the Dirichlet problem (without any assumption of regularity on the domains). Then, following an idea of A. Beurling, a technique of subsolutions and supersolutions for the so-called quadrature surface free boundary problem is presented. This technique would apply to many free boundary problems in RN, N≥2, which have overdetermined Cauchy data on the free boundary. Some applications to concrete examples are also given.

Funding Statement

This work was done while the author was at the University of Nancy I (France) supported by URA 750 CNRS and project Numath INRIA Lorraine.

Citation

Download Citation

Antoine Henrot. "Subsolutions and supersolutions in a free boundary problem." Ark. Mat. 32 (1) 79 - 98, March 1994. https://doi.org/10.1007/BF02559524