{"product_id":"minimizers-for-a-one-dimensional-elasticity-problem-von-maria-mercedes-franco","title":"Minimizers for a One-Dimensional Elasticity Problem","description":"\u003cp\u003eWe study a class of problems in forced phase  transitions in one-dimensional, shape-memory  solids. The problems incorporate a prescribed body  force B which delivers live loading and a non- convex stored energy function of the strain W. The  continuity and differentiability requirements over  W and B are standard. Assuming that B is concave  and under mild growth conditions on W and B, we  obtained existence of minimizers for the functional  in the problems posed. Then we showed that the  minimizers satisfy the Euler-Lagrange equations of  equilibrium almost everywhere.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838317113\"\u003e\u003ch3\u003eExistence and Regularity Results without Convexity Assumptions\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838317113","offer_id":39497094037597,"sku":"9783838317113","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/a1a3ea0e-94c6-4b21-931c-34d915ade349.jpg?v=1758948168","url":"https:\/\/shop.autorenwelt.de\/products\/minimizers-for-a-one-dimensional-elasticity-problem-von-maria-mercedes-franco","provider":"Autorenwelt Shop","version":"1.0","type":"link"}