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Francu, Jan

On Signorini problem for von Kármán equations. The case of angular domain. (English) Zbl 0479.73041

Apl. Mat. 24, 355-371 (1979).
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Cited in 2 Documents

MSC:

74K20 Plates
74S30 Other numerical methods in solid mechanics (MSC2010)
35J60 Nonlinear elliptic equations
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
49J40 Variational inequalities
47H05 Monotone operators and generalizations
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)

Keywords:

first and second boundary value problems; at least one W2,2-solution; polar form has no non-trivial kernel; inhomogeneities fulfil certain sign condition; pseudomonotone semicoercive variational inequalities

Citations:

Zbl 0387.35030
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\textit{J. Francu}, Apl. Mat. 24, 355--371 (1979; Zbl 0479.73041)
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References:

[1] Hlaváček I., Naumann J.: Inhomogeneous boundary value problems for the von Kármán equations, I. Aplikace matematiky 19 (1974), 253 - 269.
[2] Jakovlev G. N.: Boundary properties of functions of class \(W_p^1\) on domains with angular points. (Russian). DANSSSR, 140 (1961), 73-76.
[3] John O.: On Signorini problem for von Kármán equations. Aplikace matematiky 22 (1977), 52-68. · Zbl 0387.35030
[4] John O., Nečas J.: On the solvability of von Kármán equations. Aplikace matematiky 20 (1975), 48-62. · Zbl 0309.35064
[5] Knightly G. H.: An existence theorem for the von Kármán equations. Arch. Rat. Mech. Anal., 27 (1967), 233-242. · Zbl 0162.56303
[6] Nečas J.: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. · Zbl 1225.35003
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