Mission p

2025/06/09 by Daniel Campbell, Campbell, Daniel, A. DOLEŽALOVÁ +3
Mathematics · Engineering · #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2506.07543

Abstract

In this paper we prove the lower semicontinuity of a Neohookean-type energy for a model of Nonlinear Elasticity that allows, for the first time, for p

Citations

• Weak limits of Sobolev homeomorphisms are one to one
• Point-wise characterizations of limits of planar Sobolev homeomorphisms and their quasi-monotonicity
• Weak limit of homeomorphisms in W^1,n-1: invertibility and lower semicontinuity of energy
• Injectivity almost everywhere for weak limits of Sobolev homeomorphisms
• Convexity conditions and existence theorems in nonlinear elasticity

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