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Multiple solutions of compact $H$-surfaces in Euclidean space
Author(s) -
Yuxin Ge,
Feng Zhou
Publication year - 2003
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.2003.045
Subject(s) - mathematics , euclidean space , multiplicity (mathematics) , euclidean geometry , minimax , space (punctuation) , seven dimensional space , compact space , locally compact space , pure mathematics , euclidean distance matrix , topology (electrical circuits) , euclidean distance , mathematical analysis , combinatorics , geometry , mathematical optimization , computer science , operating system
We prove here the multiplicity results for the solutions of compact$H$-surfaces in Euclidean space.Some minimax methods and topological arguments are used for the existenceof such solutions in multiplyconnected domains.

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