The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants. The second objective is to use these inequalities to show that the linear elasticity system in half-space admits a coercive variational formulation. This formulation corresponds to the physical case in which the solution is evanescent at infinity.
Citation: Nabil Kerdid. On the linearized system of elasticity in the half-space[J]. AIMS Mathematics, 2022, 7(8): 14991-15001. doi: 10.3934/math.2022821
The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants. The second objective is to use these inequalities to show that the linear elasticity system in half-space admits a coercive variational formulation. This formulation corresponds to the physical case in which the solution is evanescent at infinity.
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Nabil Kerdid. On the linearized system of elasticity in the half-space[J]. AIMS Mathematics, 2022, 7(8): 14991-15001. doi: 10.3934/math.2022821
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