uni-leipzig-open-access/json/s00220-022-04565-w

1 line
12 KiB
Plaintext

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T04:12:27Z","timestamp":1687407147434},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,11,19]],"date-time":"2022-11-19T00:00:00Z","timestamp":1668816000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,11,19]],"date-time":"2022-11-19T00:00:00Z","timestamp":1668816000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Commun. Math. Phys."],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s00220-022-04565-w","type":"journal-article","created":{"date-parts":[[2022,11,19]],"date-time":"2022-11-19T21:17:00Z","timestamp":1668892620000},"page":"33-78","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Regularity of Minimizers for a Model of Charged Droplets"],"prefix":"10.1007","volume":"401","author":[{"given":"Guido de","family":"Philippis","sequence":"first","affiliation":[]},{"given":"Jonas","family":"Hirsch","sequence":"additional","affiliation":[]},{"given":"Giulia","family":"Vescovo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,11,19]]},"reference":[{"key":"4565_CR1","doi-asserted-by":"publisher","first-page":"321","DOI":"10.2307\/1970587","volume":"87","author":"FJJ Almgren","year":"1968","unstructured":"Almgren, F.J.J.: Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Ann. Math. 87, 321\u2013391 (1968)","journal-title":"Ann. Math."},{"key":"4565_CR2","doi-asserted-by":"crossref","unstructured":"Almgren, F.J.J.: Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems with Constraints. Mem. Amer. Math. Soc., 4 (1976), pp.\u00a0viii+199","DOI":"10.1090\/memo\/0165"},{"key":"4565_CR3","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/BF02163264","volume":"1","author":"L Ambrosio","year":"1993","unstructured":"Ambrosio, L., Buttazzo, G.: An optimal design problem with perimeter penalization. Calc. Var. Partial Differ. Equ. 1, 55\u201369 (1993)","journal-title":"Calc. Var. Partial Differ. Equ."},{"key":"4565_CR4","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1007\/BF01342965","volume":"131","author":"HO Cordes","year":"1956","unstructured":"Cordes, H.O.: \u00dcber die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen. Math. Ann. 131, 278\u2013312 (1956)","journal-title":"Math. Ann."},{"key":"4565_CR5","volume-title":"Frontiere Orientate di Misura Minima, Seminario di Matematica della Scuola Normale Superiore di Pisa","author":"E De Giorgi","year":"1960","unstructured":"De Giorgi, E.: Frontiere Orientate di Misura Minima, Seminario di Matematica della Scuola Normale Superiore di Pisa. Editrice Tecnico Scientifica, Pisa (1960)"},{"key":"4565_CR6","first-page":"523","volume":"28","author":"G De Philippis","year":"2015","unstructured":"De Philippis, G., Figalli, A.: A note on the dimension of the singular set in free interface problems. Differ. Integral Equ. 28, 523\u2013536 (2015)","journal-title":"Differ. Integral Equ."},{"key":"4565_CR7","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1007\/s00205-014-0813-2","volume":"216","author":"G De Philippis","year":"2015","unstructured":"De Philippis, G., Maggi, F.: Regularity of free boundaries in anisotropic capillarity problems and the validity of Young\u2019s law. Arch. Ration. Mech. Anal. 216, 473\u2013568 (2015)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"4565_CR8","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1007\/s101890170018","volume":"6","author":"M Deserno","year":"2001","unstructured":"Deserno, M.: Rayleigh instability of charged droplets in the presence of counterions. Eur. Phys. J. E 6, 163\u2013168 (2001)","journal-title":"Eur. Phys. J. E"},{"key":"4565_CR9","doi-asserted-by":"publisher","first-page":"136","DOI":"10.1016\/0095-8522(64)90024-8","volume":"19","author":"A Doyle","year":"1964","unstructured":"Doyle, A., Moffett, D., Vonnegut, B.: Behavior of evaporating electrically charged droplets. J. Colloid Sci. 19, 136\u2013143 (1964)","journal-title":"J. Colloid Sci."},{"key":"4565_CR10","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1038\/421128a","volume":"421","author":"D Duft","year":"2003","unstructured":"Duft, D., Achtzehn, T., M\u00fcller, R., Huber, B.A., Leisner, T.: Rayleigh jets from levitated microdroplets. Nature 421, 128 (2003)","journal-title":"Nature"},{"key":"4565_CR11","volume-title":"Measure Theory and Fine Properties of Functions, Textbooks in Mathematics","author":"LC Evans","year":"2015","unstructured":"Evans, L.C., Gariepy, R.F.: Measure Theory and Fine Properties of Functions, Textbooks in Mathematics. CRC Press, Boca Raton (2015)"},{"key":"4565_CR12","doi-asserted-by":"publisher","first-page":"117","DOI":"10.4171\/IFB\/336","volume":"17","author":"N Fusco","year":"2015","unstructured":"Fusco, N., Julin, V.: On the regularity of critical and minimal sets of a free interface problem. Interfaces Free Bound. 17, 117\u2013142 (2015)","journal-title":"Interfaces Free Bound."},{"key":"4565_CR13","doi-asserted-by":"publisher","volume-title":"Minimal Surfaces and Functions of Bounded Variation, vol. 80 of Monographs in Mathematics","author":"E Giusti","year":"1984","unstructured":"Giusti, E.: Minimal Surfaces and Functions of Bounded Variation, vol. 80 of Monographs in Mathematics. Birkh\u00e4user Verlag, Basel (1984)","DOI":"10.1007\/978-1-4684-9486-0"},{"key":"4565_CR14","doi-asserted-by":"publisher","volume-title":"Direct Methods in the Calculus of Variations","author":"E Giusti","year":"2003","unstructured":"Giusti, E.: Direct Methods in the Calculus of Variations. World Scientific Publishing Co., Inc., River Edge, NJ (2003)","DOI":"10.1142\/5002"},{"key":"4565_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00205-014-0827-9","volume":"217","author":"M Goldman","year":"2015","unstructured":"Goldman, M., Novaga, M., Ruffini, B.: Existence and stability for a non-local isoperimetric model of charged liquid drops. Arch. Ration. Mech. Anal. 217, 1\u201336 (2015)","journal-title":"Arch. Ration. Mech. Anal."},{"key":"4565_CR16","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.2140\/apde.2018.11.1113","volume":"11","author":"M Goldman","year":"2018","unstructured":"Goldman, M., Novaga, M., Ruffini, B.: On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint. Anal. PDE 11, 1113\u20131142 (2018)","journal-title":"Anal. PDE"},{"key":"4565_CR17","first-page":"94","volume":"2","author":"M Goldman","year":"2017","unstructured":"Goldman, M., Ruffini, B.: Equilibrium shapes of charged droplets and related problems: (mostly) a review. Geom. Flows 2, 94\u2013104 (2017)","journal-title":"Geom. Flows"},{"key":"4565_CR18","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/BF01191615","volume":"1","author":"F-H Lin","year":"1993","unstructured":"Lin, F.-H.: Variational problems with free interfaces. Calc. Var. Partial Differ. Equ. 1, 149\u2013168 (1993)","journal-title":"Calc. Var. Partial Differ. Equ."},{"key":"4565_CR19","doi-asserted-by":"crossref","unstructured":"Maggi, F.: Sets of Finite Perimeter and Geometric Variational Problems: an Introduction to Geometric Measure Theory, vol.\u00a0135 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, (2012)","DOI":"10.1017\/CBO9781139108133"},{"key":"4565_CR20","doi-asserted-by":"crossref","unstructured":"Muratov, C.B., Novaga, M.: On Well-Posedness of Variational Models of Charged Drops. Proc. A., 472 (2016)","DOI":"10.1098\/rspa.2015.0808"},{"key":"4565_CR21","doi-asserted-by":"publisher","first-page":"1049","DOI":"10.1002\/cpa.21739","volume":"71","author":"CB Muratov","year":"2018","unstructured":"Muratov, C.B., Novaga, M., Ruffini, B.: On equilibrium shape of charged flat drops. Commun. Pure Appl. Math. 71, 1049\u20131073 (2018)","journal-title":"Commun. Pure Appl. Math."},{"key":"4565_CR22","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1080\/14786448208628425","volume":"14","author":"J Rayleigh","year":"1882","unstructured":"Rayleigh, J.: On the equilibrium of liquid conducting masses charged with electricity. Lond Edinb Dublin Philos Mag J Sci 14, 184\u2013186 (1882)","journal-title":"Lond Edinb Dublin Philos Mag J Sci"},{"key":"4565_CR23","first-page":"319","volume":"422","author":"CB Richardson","year":"1989","unstructured":"Richardson, C.B., Pigg, A.L., Hightower, R.L.: On the stability limit of charged droplets. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 422, 319\u2013328 (1989)","journal-title":"Proc. R. Soc. Lond. Ser. A Math. Phys. Sci."},{"key":"4565_CR24","unstructured":"Stone, H.A., Lister, J.R., Brenner, M.P.: Drops with Conical Ends in Electric and Magnetic Fields (1998)"},{"key":"4565_CR25","first-page":"27","volume":"334","author":"I Tamanini","year":"1982","unstructured":"Tamanini, I.: Boundaries of Caccioppoli sets with H\u00f6lder-continuous normal vector. J. Reine Angew. Math. 334, 27\u201339 (1982)","journal-title":"J. Reine Angew. Math."},{"key":"4565_CR26","first-page":"383","volume":"280","author":"G Taylor","year":"1964","unstructured":"Taylor, G.: Disintegration of water drops in electric field. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 280, 383\u2013397 (1964)","journal-title":"Soc. Lond. Ser. A Math. Phys. Sci."},{"key":"4565_CR27","doi-asserted-by":"publisher","DOI":"10.1063\/1.3361158","volume":"22","author":"RM Thaokar","year":"2010","unstructured":"Thaokar, R.M., Deshmukh, S.D.: Rayleigh instability of charged drops and vesicles in the presence of counterions. Phys. Fluids 22, 034107 (2010)","journal-title":"Phys. Fluids"},{"key":"4565_CR28","doi-asserted-by":"publisher","first-page":"728","DOI":"10.1017\/S0305004100009609","volume":"22","author":"CTR Wilson","year":"1925","unstructured":"Wilson, C.T.R., Taylor, G.I.: The bursting of soap-bubbles in a uniform electric field. Math. Proc. Camb. Philos. Soc. 22, 728\u2013730 (1925)","journal-title":"Math. Proc. Camb. Philos. Soc."},{"key":"4565_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1103\/PhysRev.10.1","volume":"10","author":"J Zeleny","year":"1917","unstructured":"Zeleny, J.: Instability of electrified liquid surfaces. Phys. Rev. 10, 1\u20136 (1917)","journal-title":"Phys. Rev."}],"container-title":["Communications in Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-022-04565-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00220-022-04565-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-022-04565-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,21]],"date-time":"2023-06-21T15:24:22Z","timestamp":1687361062000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00220-022-04565-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,19]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["4565"],"URL":"http:\/\/dx.doi.org\/10.1007\/s00220-022-04565-w","relation":{},"ISSN":["0010-3616","1432-0916"],"issn-type":[{"value":"0010-3616","type":"print"},{"value":"1432-0916","type":"electronic"}],"subject":["Mathematical Physics","Statistical and Nonlinear Physics"],"published":{"date-parts":[[2022,11,19]]},"assertion":[{"value":"19 November 2022","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}