. "The goal of this paper is to prove the existence and uniqueness of the weak solution of the boundary value problem for the first problem in plasticity theory. We consider the general constitutive equations for elasto-plastic materials with internal state variables. We use the fixed point theorem for contractive mapping and Lax-Milgram theorem to prove the general properties of the weak solution in Sobolev spaces." . "RIV/68407700:21110/05:01110704!RIV09-MSM-21110___" . "2005-02-02+01:00"^^ . "Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory" . . . . . . . . "1"^^ . "The goal of this paper is to prove the existence and uniqueness of the weak solution of the boundary value problem for the first problem in plasticity theory. We consider the general constitutive equations for elasto-plastic materials with internal state variables. We use the fixed point theorem for contractive mapping and Lax-Milgram theorem to prove the general properties of the weak solution in Sobolev spaces."@en . "21110" . . "V" . "RIV/68407700:21110/05:01110704" . "1"^^ . . "539784" . "Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory"@en . . "Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory"@en . . "C\u00EDlem je dok\u00E1zat existenci a jednozna\u010Dnost slab\u00E9ho \u0159e\u0161en\u00ED prvn\u00EDho okrajov\u00E9ho probl\u00E9mu teorie plasticity za obecn\u00FDch konstitutivn\u00EDch vztah\u016F popisuj\u00EDc\u00EDch elasto-plastick\u00E9 chov\u00E1n\u00ED materi\u00E1lu s vnit\u0159n\u00EDmi parametry."@cs . "Vysok\u00E9 u\u010Den\u00ED technick\u00E9 v Brn\u011B. Fakulta stavebn\u00ED" . "Kvalitativn\u00ED vlastnosti slab\u00E9ho \u0159e\u0161en\u00ED prvn\u00EDho probl\u00E9mu teorie plasticity"@cs . . "5"^^ . "80-214-2827-9" . "Kvalitativn\u00ED vlastnosti slab\u00E9ho \u0159e\u0161en\u00ED prvn\u00EDho probl\u00E9mu teorie plasticity"@cs . "Plasticity theory"@en . "[A60C85909A5F]" . "Brno" . "Juniorstav 2005" . "Brno" . "Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory" . "Bene\u0161, Michal" .