clopen.solutions

Open problems

980 registered problems.

OP-00587 Open
Do finite-energy elastic minimizers satisfy force balance?
AP · AIM Open Applied Problems · Euler–Lagrange equations · nonlinear elasticity · polyconvexity
OP-00619 Open
Attainment of the three-dimensional neo-Hookean energy in the regular admissible class
AP · AIM Open Applied Problems · existence of minimizers · neo-Hookean materials · nonlinear elasticity
OP-00634 Open
Existence of elastic equilibria under quasiconvexity and infinite compression energy
AP · AIM Open Applied Problems · calculus of variations · nonlinear elasticity · quasiconvexity
OP-00665 Solution claimed
Smooth approximation of three-dimensional Sobolev homeomorphisms
FA · AIM Open Applied Problems · diffeomorphic approximation · nonlinear elasticity · Sobolev homeomorphisms
OP-00721 Solution claimed
Recover both Lamé moduli from static boundary measurements
AP · AIM Open Applied Problems · inverse problems · Lamé parameters · linear elasticity
OP-00857 Open
Approximation preserving a compressible elastic energy
AP · AIM Open Applied Problems · diffeomorphic approximation · nonlinear elasticity · Sobolev homeomorphisms