Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain
Applications of Mathematics (1991)
- Volume: 36, Issue: 5, page 368-379
- ISSN: 0862-7940
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topCibula, Július. "Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain." Applications of Mathematics 36.5 (1991): 368-379. <http://eudml.org/doc/15685>.
@article{Cibula1991,
abstract = {Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. It is shown that the corresponding functional of energy is coercive and weakly lower semicontinuous. Then the functional of energy attains absolute minimum which is a variational solution of the problem.},
author = {Cibula, Július},
journal = {Applications of Mathematics},
keywords = {variational solution; Sobolev space; linear continuous functional; operator; curvature; property of coerciveness; weakly lower semicontinuous functional; absolute minimum; functional of energy; Sobolev space; linear continuous functional; coerciveness; weakly lower semicontinuous functional; operator equation; functional of energy; absolute minimum; variational solution},
language = {eng},
number = {5},
pages = {368-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain},
url = {http://eudml.org/doc/15685},
volume = {36},
year = {1991},
}
TY - JOUR
AU - Cibula, Július
TI - Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 5
SP - 368
EP - 379
AB - Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. It is shown that the corresponding functional of energy is coercive and weakly lower semicontinuous. Then the functional of energy attains absolute minimum which is a variational solution of the problem.
LA - eng
KW - variational solution; Sobolev space; linear continuous functional; operator; curvature; property of coerciveness; weakly lower semicontinuous functional; absolute minimum; functional of energy; Sobolev space; linear continuous functional; coerciveness; weakly lower semicontinuous functional; operator equation; functional of energy; absolute minimum; variational solution
UR - http://eudml.org/doc/15685
ER -
References
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- J. Cibula, Equations de von Kármán. II. Approximation de la solution, Aplikace matematiky, 30(1985), 1-10. (1985) Zbl0606.35031MR0779329
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- P. G. Ciarlet P. Rabier, Lés équations de von Kármán, Lecture Notes in Math., vol. 826. Springer-Verlag, Berlin-Heidelberg-New York 1980. (1980) MR0595326
- I. Hlaváček J. Naumann, Inhomogeneous boundary value problems for the von Kármán equation, I, Aplikace matematiky 19 (1974), 253-269. (1974) MR0377307
- O. John J. Nečas, On the solvability of von Kármán equations, Aplikace matematiky, 20 (1975), 48-62. (1975) MR0380099
- G. H. Knightly, 10.1007/BF00290614, Arch. Rat. Mech. Anal., 27 (1967), 233-242. (1967) Zbl0162.56303MR0220472DOI10.1007/BF00290614
- J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
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