메뉴 건너뛰기




Volumn 188, Issue 3-4, 1997, Pages 341-370

Bifurcation of a capillary minimal surface in a weak gravitational field

(1)  Borisovich, A Yu a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031286027     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM1997v188n03ABEH000209     Document Type: Article
Times cited : (1)

References (31)
  • 3
    • 0018671011 scopus 로고
    • On the spreading of liquids on solid surfaces: Static and dynamic contact lines
    • E. B. Dussan V, "On the spreading of liquids on solid surfaces: Static and dynamic contact lines", Ann. Rev. Fluid Mech. 11 (1979), 371-400.
    • (1979) Ann. Rev. Fluid Mech. , vol.11 , pp. 371-400
    • Dussan E.B. V1
  • 4
    • 0022880609 scopus 로고
    • Stability in systems with moving contact lines
    • E. B. Dussan V and S. H. Davis, "Stability in systems with moving contact lines", J. Fluid Mech. 173 (1986), 115-130.
    • (1986) J. Fluid Mech. , vol.173 , pp. 115-130
    • Dussan E.B. V1    Davis, S.H.2
  • 8
    • 0010799743 scopus 로고
    • On the inversion of the Lagrange theorem for a rigid body with a cavity containing ideal fluid
    • V. V. Rumyantsev and V. A. Vladimirov, "On the inversion of the Lagrange theorem for a rigid body with a cavity containing ideal fluid", Prikl. Mat. Mekh. 53 (1989), 608-612; English transl. in, J. Appl. Math. Mech. 53 (1989).
    • (1989) Prikl. Mat. Mekh. , vol.53 , pp. 608-612
    • Rumyantsev, V.V.1    Vladimirov, V.A.2
  • 9
    • 85164645900 scopus 로고
    • V. V. Rumyantsev and V. A. Vladimirov, "On the inversion of the Lagrange theorem for a rigid body with a cavity containing ideal fluid", Prikl. Mat. Mekh. 53 (1989), 608-612; English transl. in, J. Appl. Math. Mech. 53 (1989).
    • (1989) J. Appl. Math. Mech. , vol.53
  • 10
    • 0010872331 scopus 로고
    • On the inversion of the Lagrange theorem for a rigid body with a cavity containing viscous fluid
    • V. V. Rumyantsev and V. A. Vladimirov, "On the inversion of the Lagrange theorem for a rigid body with a cavity containing viscous fluid", Prikl. Mat. Mekh. 54 (1990), 190-200; English transl. in, J. Appl. Math. Mech. 54 (1990).
    • (1990) Prikl. Mat. Mekh. , vol.54 , pp. 190-200
    • Rumyantsev, V.V.1    Vladimirov, V.A.2
  • 11
    • 85164645660 scopus 로고
    • V. V. Rumyantsev and V. A. Vladimirov, "On the inversion of the Lagrange theorem for a rigid body with a cavity containing viscous fluid", Prikl. Mat. Mekh. 54 (1990), 190-200; English transl. in, J. Appl. Math. Mech. 54 (1990).
    • (1990) J. Appl. Math. Mech. , vol.54
  • 12
    • 0010799247 scopus 로고
    • A global theorem for nonlinear eigenvalue problems and applications
    • Academic Press
    • T. Poston, A global theorem for nonlinear eigenvalue problems and applications, Contrib. Nonlinear Functional Anal., Academic Press, 1971, pp. 11-36.
    • (1971) Contrib. Nonlinear Functional Anal. , pp. 11-36
    • Poston, T.1
  • 13
    • 0010862806 scopus 로고
    • The cusp catastrophe of Thom in the bifurcation of minimal surfaces
    • M. J. Beeson and A. J. Tromba, "The cusp catastrophe of Thom in the bifurcation of minimal surfaces", Manuscripta Math. 46 (1984), 273-308.
    • (1984) Manuscripta Math. , vol.46 , pp. 273-308
    • Beeson, M.J.1    Tromba, A.J.2
  • 14
    • 0010931282 scopus 로고
    • Multivalued mappings, minimal surfaces and soap films
    • A. T. Fomenko and A. A. Tuzhilin, "Multivalued mappings, minimal surfaces and soap films", Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986:3, 3-12, 117-118; English transl. in Moscow Univ. Math. Bull. 41 (1986).
    • (1986) Vestnik Moskov. Univ. Ser. I Mat. Mekh. , Issue.3 , pp. 3-12
    • Fomenko, A.T.1    Tuzhilin, A.A.2
  • 15
    • 85164632643 scopus 로고
    • A. T. Fomenko and A. A. Tuzhilin, "Multivalued mappings, minimal surfaces and soap films", Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986:3, 3-12, 117-118; English transl. in Moscow Univ. Math. Bull. 41 (1986).
    • (1986) Moscow Univ. Math. Bull. , vol.41
  • 16
    • 0010796699 scopus 로고
    • Bifurcation of some two-dimensional minimal surfaces in the case of two-parameter variation of the contour
    • Izdat. Moskov. Gos. Univ., Moscow
    • A. A. Tuzhilin, "Bifurcation of some two-dimensional minimal surfaces in the case of two-parameter variation of the contour", Geometry and differential equations, Izdat. Moskov. Gos. Univ., Moscow, 1986, pp. 140-145.
    • (1986) Geometry and Differential Equations , pp. 140-145
    • Tuzhilin, A.A.1
  • 17
    • 0010877314 scopus 로고
    • Bifurkation von minimalflächen und elementare katastrophen
    • J. Buch, "Bifurkation von Minimalflächen und elementare Katastrophen", Manuscripta Math. 55:3-4 (1986), 269-306.
    • (1986) Manuscripta Math. , vol.55 , Issue.3-4 , pp. 269-306
    • Buch, J.1
  • 18
    • 0010794830 scopus 로고
    • Functional-topological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics
    • A. Yu. Borisovich, "Functional-topological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics", Adv. Soviet Math. 15 (1993), 287-330.
    • (1993) Adv. Soviet Math. , vol.15 , pp. 287-330
    • Borisovich, A.Yu.1
  • 22
    • 0000309125 scopus 로고
    • Boundary-value problems for elliptic equations in domains with conical or angular points
    • V. A. Kondrat'ev, "Boundary-value problems for elliptic equations in domains with conical or angular points", Trudy Moskov. Mat. Obshch. 16 (1967), 209-292; English transl. in Trans. Moscow Math. Soc. 16 (1968).
    • (1967) Trudy Moskov. Mat. Obshch. , vol.16 , pp. 209-292
    • Kondrat'ev, V.A.1
  • 23
    • 85164652566 scopus 로고
    • V. A. Kondrat'ev, "Boundary-value problems for elliptic equations in domains with conical or angular points", Trudy Moskov. Mat. Obshch. 16 (1967), 209-292; English transl. in Trans. Moscow Math. Soc. 16 (1968).
    • (1968) Trans. Moscow Math. Soc. , vol.16
  • 24
    • 0001056317 scopus 로고
    • Bifurcation from simple eigenvalues
    • M. G. Crandall and P. H. Rabinowitz, "Bifurcation from simple eigenvalues", J. Funct. Anal. 8 (1971), 321-340.
    • (1971) J. Funct. Anal. , vol.8 , pp. 321-340
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 25
    • 0004106061 scopus 로고
    • Topics in nonlinear functional analysis
    • New York
    • L. Nirenberg, Topics in nonlinear functional analysis, Courant Inst. of Math. Sci., New York 1974.
    • (1974) Courant Inst. of Math. Sci.
    • Nirenberg, L.1
  • 27
    • 85164647175 scopus 로고
    • The problem of Plateau, an introduction to the whole mathematics
    • Trieste
    • P. H. Rabinowitz, The Problem of Plateau, an introduction to the whole Mathematics, Mimeographical Notes. Summer conference, Trieste (1972).
    • (1972) Mimeographical Notes. Summer Conference
    • Rabinowitz, P.H.1
  • 28
    • 0010796939 scopus 로고
    • Bifurcation theory for Fredholm operators
    • J. Ize, "Bifurcation theory for Fredholm operators", Mem. Amer. Math. Soc. 174 (1976).
    • (1976) Mem. Amer. Math. Soc. , vol.174
    • Ize, J.1
  • 30
    • 84956445355 scopus 로고
    • Branching of solutions of smooth Fredholm equations
    • Springer-Verlag, Heidelberg, New York
    • Yu. I. Sapronov, "Branching of solutions of smooth Fredholm equations", Global analysis -studies and applications, Lecture Notes in Math. 1108, Springer-Verlag, Heidelberg, New York, 1984, pp. 31-53.
    • (1984) Global Analysis - Studies and Applications, Lecture Notes in Math. , vol.1108 , pp. 31-53
    • Sapronov, Yu.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.