In this communication we anticipate some results of a research in progress, whose purpose is to find necessary conditions and sufficient conditions for local energy minima in finite elasticity. Though our analysis includes both compressible and incompressible continua, the present account is restricted to the compressible case
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We prove the local Holder continuity of strong local minimizers of the stored energy functional ____...
A limit elastic energy for the pure traction problem is derived from re-scaled nonlinear energies of...
This paper deals with necessary conditions and sufficient conditions for a weak local minimum of the...
The natural (stress-free) state of an elastic body is usually assumed to be a global energy minimiz...
New necessary conditions for energy-minimizing states of an incompressible, elastic body are found. ...
Abstract Regularity properties for (local) minimizers of elastic energies have been challenging math...
We study compressible and incompressible nonlinear elasticity variational problems in a general cont...
We provide an approximation result for the pure traction problem of linearized elasticity in terms o...
Abstract. For a class of 2-D elastic energies we show that a radial equilibrium solution is the uniq...
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global ...
A soft solid is said to be initially stressed if it is subjected to a state of internal stress in it...
Abstract. Aguiar (2004, 2006a) have considered a class of two-dimensional problems in classical line...
Abstract. In this paper we prove that every weak and strong local minimizer u ∈ W 1,2(Ω, IR3) of the...
Abstract. For a class of 2-D elastic energies we show that a radial equilibrium solution is the uniq...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We prove the local Holder continuity of strong local minimizers of the stored energy functional ____...
A limit elastic energy for the pure traction problem is derived from re-scaled nonlinear energies of...
This paper deals with necessary conditions and sufficient conditions for a weak local minimum of the...
The natural (stress-free) state of an elastic body is usually assumed to be a global energy minimiz...
New necessary conditions for energy-minimizing states of an incompressible, elastic body are found. ...
Abstract Regularity properties for (local) minimizers of elastic energies have been challenging math...
We study compressible and incompressible nonlinear elasticity variational problems in a general cont...
We provide an approximation result for the pure traction problem of linearized elasticity in terms o...
Abstract. For a class of 2-D elastic energies we show that a radial equilibrium solution is the uniq...
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global ...
A soft solid is said to be initially stressed if it is subjected to a state of internal stress in it...
Abstract. Aguiar (2004, 2006a) have considered a class of two-dimensional problems in classical line...
Abstract. In this paper we prove that every weak and strong local minimizer u ∈ W 1,2(Ω, IR3) of the...
Abstract. For a class of 2-D elastic energies we show that a radial equilibrium solution is the uniq...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
We prove the local Holder continuity of strong local minimizers of the stored energy functional ____...
A limit elastic energy for the pure traction problem is derived from re-scaled nonlinear energies of...