WEAK VECTOR AND SCALAR POTENTIALS: APPLICATIONS TO POINCARÉ'S THEOREM AND KORN'S INEQUALITY IN SOBOLEV SPACES WITH NEGATIVE EXPONENTS
From MaRDI portal
Publication:3406712
DOI10.1142/S0219530510001497zbMath1190.49004OpenAlexW2118583977MaRDI QIDQ3406712
Chérif Amrouche, Patrick~jun. Ciarlet, Philippe G. Ciarlet
Publication date: 19 February 2010
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530510001497
Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93)
Related Items (11)
A NEW DUALITY APPROACH TO ELASTICITY ⋮ A Cesàro-Volterra formula with little regularity ⋮ Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains ⋮ Korn type inequalities in Orlicz spaces ⋮ Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions ⋮ On the curl operator and some characterizations of matrix fields in Lipschitz domains ⋮ On Maxwell's and Poincaré's constants ⋮ LAGRANGE MULTIPLIERS IN INTRINSIC ELASTICITY ⋮ Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS ⋮ Multiple scattering of electromagnetic waves by finitely many point-like obstacles ⋮ Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields
Cites Work
- Beltrami's solutions of general equilibrium equations in continuum mechanics
- On the characterizations of matrix fields as linearized strain tensor fields
- Characterization of the kernel of the operator CURL CURL
- Vector and scalar potentials, Poincaré's theorem and Korn's inequality
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Vector potentials in three-dimensional non-smooth domains
- ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
This page was built for publication: WEAK VECTOR AND SCALAR POTENTIALS: APPLICATIONS TO POINCARÉ'S THEOREM AND KORN'S INEQUALITY IN SOBOLEV SPACES WITH NEGATIVE EXPONENTS
