caa a22 4500 386383065 CHVBK 20180307112049.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500025099 doi S0308210500025099 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500025099 Remarks concerning a free boundary problem arising in the theory of liquid drops and in plasma physics [Elektronische Daten] We consider a generalisation of the liquid drop problem, introduced in [1, Part II], by allowing the upper and lower surfaces to have different surface tension coefficients γv and γu. We study the existence, uniqueness and regularity of this problem. In addition, we show that as γv/γu →0, the solution of this problem converges to the solution of the "plasma problem”. Copyright © Royal Society of Edinburgh 1989 Barrett John W. Department of Mathematics, Imperial College, London SW7 2BZ, U.K. Elliott Charles M. School of Mathematical & Physical Sciences, University of Sussex, Brighton BN1 9QH, U.K. Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 169-181 0308-2105 111:1-2<169 1989 111 PRM https://doi.org/10.1017/S0308210500025099 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500025099 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barrett John W. Department of Mathematics, Imperial College, London SW7 2BZ, U.K NATIONALLICENCE 700 1- Elliott Charles M. School of Mathematical & Physical Sciences, University of Sussex, Brighton BN1 9QH, U.K NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 169-181 0308-2105 111:1-2<169 1989 111 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge