Published 1991
| Published
Journal Article
Open
Singular Limits in Free Boundary Problems
- Creators
-
Stuart, Andrew M.
Chicago
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Abstract
We analyze the following class of nonlinear eigenvalue problems: find (uµ) є B x R satisfying (1) Du + µH(a.u - 1)f(u) = 0 in Ω ⊆ R^N, (2) u = O on ∂Ω. Here H (X) is the Heaviside step-function defined by H(X) =0, X ≤ 0 H (X) = 1 X > 0. B is some Banach space appropriate to the problem. D is taken to be a (possibly nonlinear) differential operator with the property than, when µ = 0, equations (1,2) have the unique solution u
Additional Information
© 1991 Project Euclid. I am grateful to the following financial support: (i) the Science and Engineering Research Council, U.K.; (ii) the Royal Society; (iii) NSF, under Grant DMS 8613813; (iv) Brigham Young University.Attached Files
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Additional details
- Eprint ID
- 78176
- Resolver ID
- CaltechAUTHORS:20170613-144801379
- Science and Engineering Research Council (SERC)
- Royal Society
- NSF
- DMS-8613813
- Brigham Young University
- Created
-
2017-06-14Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
- Other Numbering System Name
- Andrew Stuart
- Other Numbering System Identifier
- J14