HIDDEN GROUND STATES

TitleHIDDEN GROUND STATES
Publication TypeJournal Article
Year of Publication2002
AuthorsWarchall, HA, Weissler, FB
Volume6
Issue1
Start Page73
Pagination15
Date Published2002
ISSN1083-2564
AMS34B15, 34C10, 34C15, 34C23, 35J65
Abstract

For semilinear elliptic equations in multidimensional Euclidean space, we show there exist nonlinearities that give rise to ground state solutions that cannot be found by shooting. These ground states are members of a one-parameter family of solutions whose overall character does not undergo transition at the parameter value corresponding to the hidden ground state. We construct nonlinearities of this type by perturbing nonlinearities of well-studied types.
Refereed DesignationRefereed
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