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Phragmen–Lindelof alternative for the displacement boundary value problem in a theory of non-linear micropolar elasticity
Affiliation:1. KTH Royal Institute of Technology, Teknikringen 08, Stockholm 10044, Sweden;2. DEKRA Industrial AB, Hemvärnsgatan 11B, Solna 17126, Sweden;3. Chalmers University of Technology, Chalmersplatsen 4, Gothenburg 41296, Sweden;1. Northwestern Polytechical University & National Key Laboratory of Aerospace Flight Dynamics & Universitat Politècnica de Catalunya, School of Astronautics, Road West 127, Xi’an 710072, China;2. IEEC & Universitat Politècnica de Catalunya, UPC-Departament de Matemàtiques, Diagonal 647, 08028 Barcelona;3. IEEC & Universitat de Barcelona, UB-Departament de Matemàtiques i Informàtica, Gran Via de les Corts Catalanes 585, 08007 Barcelona;4. Northwestern Polytechical University & National Key Laboratory of Aerospace Flight Dynamics, School of Astronautics, Road West 127, Xi’an 710072, China
Abstract:In this note we investigate the spatial behavior of the solutions for the displacement boundary value problem in a theory of non-linear micropolar elasticity. Under suitable conditions on the non-linear terms we obtain estimates for the solutions. The main tool is the energy method.
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