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- W3144865175 abstract "Let ~ be an open set in R 2 and 1 be a conformally invariant functional defined on Hi(f2, Re). Let u be a critical point of I. We show that, if u is a priori assumed to be bounded, then u is smooth in f~, up to Oft (if uio a is smooth). This is a partial (positive) answer to a conjecture of S. Hildebrandt [13]. As an application, we establish a regularity result for weak solutions to the equation of surfaces of prescribed mean curvature in a three-dimensional compact riemannian manifold. Mathematics Subject Classifications (1991). 35B65, 53A10, 58E12." @default.
- W3144865175 created "2021-04-13" @default.
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- W3144865175 date "2004-01-01" @default.
- W3144865175 modified "2023-09-27" @default.
- W3144865175 title "A Regularity Result for Critical Points of Conformally Invariant Functionals" @default.
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