Korn and Poincaré-korn inequalities: a different perspective
From MaRDI portal
Publication:6654029
DOI10.1090/PROC/17053MaRDI QIDQ6654029
Giovanni Di Fratta, Francesco Solombrino
Publication date: 18 December 2024
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear elasticity (74B20) Operations with distributions and generalized functions (46F10) Applications of functional analysis to differential and integral equations (46N20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Korn type inequalities in Orlicz spaces
- Sobolev spaces on non-Lipschitz subsets of \(\mathbb {R}^n\) with application to boundary integral equations on fractal screens
- A non-inequality for differential operators in the \(L_ 1\) norm
- Gradient theory for plasticity via homogenization of discrete dislocations
- Über einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen.
- Solution générale du problème d'équilibre dans la théorie de l'élasticité dans le cas où les efforts donnés à la surface.
- Korn inequalities for shells with zero Gaussian curvature
- On Poincaré's and J. L. Lions' lemmas
- A new approach to counterexamples to \(L^1\) estimates: Korn's inequality, geometric rigidity, and regularity for gradients of separately convex functions
- Sharp conditions for Korn inequalities in Orlicz spaces
- On Korn-Maxwell-Sobolev inequalities
- \(\mathscr{A}\)-quasiconvexity and partial regularity
- Korn and Poincaré-Korn inequalities for functions with a small jump set
- Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms
- Korn's second inequality and geometric rigidity with mixed growth conditions
- Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields
- Embeddings for \(\mathbb{A}\)-weakly differentiable functions on domains
- Korn's inequality and John domains
- Generalized Korn's inequality and conformal Killing vectors
- On the boundary-value problems of the theory of elasticity and Korn's inequality
- Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
- A unified divergent approach to Hardy-Poincaré inequalities in classical and variable Sobolev spaces
- Divergence Operator and Related Inequalities
- Inequalities for formally positive integro-differential forms
- A decomposition technique for John domains
- Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
- On Korn's second inequality
- Local compactness for linear elasticity in irregular domains
- On a variant of Korn's inequality arising in statistical mechanics
- A Piecewise Korn Inequality in SBD and Applications to Embedding and Density Results
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Korn’s Inequalities and Their Applications in Continuum Mechanics
- Mathematical Elasticity: Theory of Plates
- Mathematical Elasticity: Theory of Shells
- Mathematical Elasticity: Three-Dimensional Elasticity
- Equilibria of Charged Hyperelastic Solids
- A short proof of local regularity of distributional solutions of Poisson’s equation
- Trace-Free Korn Inequalities in Orlicz Spaces
- NONLINEAR SAINT–VENANT COMPATIBILITY CONDITIONS AND THE INTRINSIC APPROACH FOR NONLINEARLY ELASTIC PLATES
- Another Proof of Weyl’s Lemma
- On Korn's inequality
- On Korn's inequality
- Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions
- Korn-Maxwell-Sobolev inequalities for general incompatibilities
This page was built for publication: Korn and Poincaré-korn inequalities: a different perspective
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6654029)