المؤلفون: Pompe, Waldemar

مصطلحات موضوعية: keyword:Korn's Inequality, keyword:coercive inequalities, msc:26D10, msc:26D15, msc:35F15, msc:35J55

وصف الملف: application/pdf

Relation: mr:MR2045845; zbl:Zbl 1098.35042; reference:[1] Besov O.V.: On coercivity in nonisotropic Sobolev spaces.Math. USSR-Sbornik, vol. 2 (1967), no. 4, 521-534. Zbl 0169.47101; reference:[2] Calderón A.P., Zygmund A.: On singular integrals.Amer. J. Math. 78 (1956), 289-309. MR 0084633; reference:[3] Chen W., Jost J.: A Riemann version of Korn's Inequality.Calc. Var. (2001).; reference:[4] Ciarlet P.G.: Mathematical Elasticity, Volume I: Three-dimensional Elasticity.North-Holland, 1988. Zbl 0648.73014, MR 0936420; reference:[5] Kałamajska A.: Coercive inequalities on weighted Sobolev spaces.Coll. Math. LXVI (1994), 309-318. MR 1268073; reference:[6] Maz'ya V.G.: Sobolev Spaces.Springer, 1985. Zbl 1152.46002, MR 0817985; reference:[7] Mikhlin S.G.: Multidimensional singular integrals and integral equations.Pergamon Press, 1965. Zbl 0129.07701, MR 0185399; reference:[8] Nečas J.: Sur les normes équivalentes dans $W^{(k)}_p(Ømega)$ et sur la coercivité des formes formellement positives.Séminaire de mathématiques supérieures, 1965. Fasc. 19: Équations aux dérivées partielles (1966), 101-128.; reference:[9] Nečas J., Hlaváček I.: Mathematical Theory of Elastic and Elasto-plastic Bodies: An Introduction.Elsevier Scientific Publishing Company, 1981. MR 0600655; reference:[10] Neff P.: On Korn's First Inequality with nonconstant coefficients.Proc. Roy. Soc. Edinburgh 132A (2002), 221-243. MR 1884478; reference:[11] Neff P.: A Korn's First Inequality with $W^{1,4}(Ømega)$-coefficients.preprint.; reference:[12] Neff P.: Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation.preprint. Zbl 1072.74013, MR 2126571

الاتاحة: http://hdl.handle.net/10338.dmlcz/119367

المؤلفون: Hlaváček, Ivan

مصطلحات موضوعية: keyword:domain optimization, keyword:shape optimization, keyword:Korn’s inequality, msc:35J55, msc:49A22, msc:49J20, msc:73C99, msc:73k40, msc:74B99

وصف الملف: application/pdf

Relation: mr:MR0990301; zbl:Zbl 0673.49004; reference:[1] J. Haslinger P. Neittaanmäki T. Tiihonen: Shape optimization of an elastic body in contact based on penalization of the state.Apl. Mat. 31 (1986), 54-77. MR 0836802; reference:[2] I. Hlaváček: Inequalities of Korn's type, uniform with respect to a class of domains.Apl. Mat. Zbl 0673.49003; reference:[3] I. Hlaváček: Domain optimization in axisymmetric elliptic boundary value problems by finite elements.Apl. Mat. 33 (1988), 213-244. MR 0944785; reference:[4] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction.Elsevier, Amsterdam 1981. MR 0600655; reference:[5] I. Hlaváček J. Nečas: On inequalities of Korn's type.Arch. Rational Mech. Anal. 36 (1970), 305-334. MR 0252844, 10.1007/BF00249518; reference:[6] J. A. Nitsche: On Korn's second inequality.R.A.I.R.O. Anal. numér., 15 (1981), 237-248. Zbl 0467.35019, MR 0631678, 10.1051/m2an/1981150302371; reference:[7] T. Tiihonen: On Korn's inequality and shape optimization.Preprint 61, Univ. of Jyväskylä, Dept. of Math., April 1987. MR 0893392

الاتاحة: http://hdl.handle.net/10338.dmlcz/104342

المؤلفون: Hlaváček, Ivan

مصطلحات موضوعية: keyword:domain optimization, keyword:Korn’s inequality, keyword:Friedrichs inequality, msc:35J20, msc:35J55, msc:49A22, msc:49J20

وصف الملف: application/pdf

Relation: mr:MR0990298; zbl:Zbl 0673.49003; reference:[1] J. Haslinger P. Neittaanmäki T. Tiihonen: Shape optimization of an elastic body in contact based on penalization of the state.Apl. Mat. 31 (1986), 54-77. MR 0836802; reference:[2] J. Nečas I. Hlaváček: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction.Elsevier, Amsterdam, 1981. MR 0600655; reference:[3] I. Hlaváček J. Nečas: On inequalities of Korn's type.Arch. Ratl. Mech. Anal. 36 (1970), 305-334. MR 0252844, 10.1007/BF00249518; reference:[4] J. A. Nitsche: On Korn's second inequality.R.A.I.R.O. Anal. numer., 15 (1981), 237-248. Zbl 0467.35019, MR 0631678; reference:[5] T. Tiihonen: On Korn's inequality and shape optimization.Preprint No. 61, University of Jyväskylä, April 1987. MR 0893392

الاتاحة: http://hdl.handle.net/10338.dmlcz/104339