On a singular variational integral with linear growth, I: Existence and regularity of minimizers

Author:

Bemelmans Josef,Dierkes Ulrich

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference25 articles.

1. Alt, H. W., & L. A. Caffarelli: Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math. 325 (1981) 105?144.

2. Anzellotti, G.: Dirichlet problem and removable singularities for functionals with linear growth, Boll. U.M.I. (5) 18 (1981) 141?159.

3. Bemelmans, J.: Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung, Analysis 1 (1981) 241?282.

4. Böhme, R., S. Hildebrandt, & E. Tausch: The two-dimensional analogue of the catenary, Pacific J. Math. 88 (1980) 247?278.

5. Caffarelli, L. A., & A. Friedman: Regularity of the boundary of the support of a capillary drop on an inhomogeneous plane and related variational problems, Rev. Mat. Iberoamericana 1 (1985) 61?84

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