The number of buckled states of circular plates

Ľubomír Marko

Aplikace matematiky (1989)

  • Volume: 34, Issue: 2, page 113-132
  • ISSN: 0862-7940

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Marko, Ľubomír. "The number of buckled states of circular plates." Aplikace matematiky 34.2 (1989): 113-132. <http://eudml.org/doc/15569>.

@article{Marko1989,
author = {Marko, Ľubomír},
journal = {Aplikace matematiky},
keywords = {Fredholm operator; static equilibrium; plate of constant thickness; Fredholm map of index zero; singular point; rotationally symmetric buckled states; von Kármán plate equations; operator equation; proper Sobolev space; local bifurcation behavior; nodal properties; Fredholm operator; static equilibrium; plate of constant thickness; Fredholm map of index zero; singular point; rotationally symmetric buckled states; von Kármán plate equations; operator equation; proper Sobolev space; local bifurcation behavior; nodal properties},
language = {eng},
number = {2},
pages = {113-132},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The number of buckled states of circular plates},
url = {http://eudml.org/doc/15569},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Marko, Ľubomír
TI - The number of buckled states of circular plates
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 113
EP - 132
LA - eng
KW - Fredholm operator; static equilibrium; plate of constant thickness; Fredholm map of index zero; singular point; rotationally symmetric buckled states; von Kármán plate equations; operator equation; proper Sobolev space; local bifurcation behavior; nodal properties; Fredholm operator; static equilibrium; plate of constant thickness; Fredholm map of index zero; singular point; rotationally symmetric buckled states; von Kármán plate equations; operator equation; proper Sobolev space; local bifurcation behavior; nodal properties
UR - http://eudml.org/doc/15569
ER -

References

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  1. M. S. Berger, 10.1002/cpa.3160200405, Comm. on Pure and Appl. Math. vol. XX, 1967, 687-719. (1967) Zbl0162.56405MR0221808DOI10.1002/cpa.3160200405
  2. M. S. Berger P. C. Fife, Von Kármán's Equations and the Buckling of a Thin Elastic Plate, II Plate with General Edge Conditions, Comm. on Pure and Appl. Math., vol. XXI, 1968, 227-241. (1968) Zbl0162.56501MR0229978
  3. M. S. Berger, 10.1512/iumj.1979.28.28047, Indiana University Math. Journal, vol. 28, No 4 (1979), 689-698. (1979) Zbl0431.47037MR0542952DOI10.1512/iumj.1979.28.28047
  4. M. G. Crandall P. H. Rabinowitz, 10.1016/0022-1236(71)90015-2, J. Funct. Anal. 8 (1971), 321-340. (1971) Zbl0219.46015MR0288640DOI10.1016/0022-1236(71)90015-2
  5. A. Kufner, Weighted Sobolev Spaces, Teubner, Leipzig, 1980. (1980) Zbl0455.46034MR0664599
  6. Ľ. Marko, Buckled States of Circular Plates, thesis, 1985 (Slovak). (1985) 
  7. L. Nirenberg, Topics in Nonlinear Functional Analysis, Russian translation, Mir, Moscow 1977. (1977) Zbl0426.47034MR0488104
  8. A. S. Voľmir, Elastic Plates and Shells, (Russian). GITTL, Moscow 1956. (1956) 
  9. J. H. Wolkowisky, Existence of Buckled States of Circular Plates, Comm. on Pure and Appl. Math. vol. XX, 1967, 549-560. (1967) Zbl0168.45206MR0213087

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