Regularity for nonlinear elliptic systems of second order
On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations [Abstract of thesis]
On -regularity for the gradient of a weak solution to nonlinear elliptic systems
Interior -regularity for the gradient of a weak solution to nonlinear second order elliptic systems is investigated.
-regularity for minima of variational integrals
The -regularity of the gradient of local minima for nonlinear functionals is shown.
Regularity of minima of variational integrals
On Hölder regularity for vector-valued minimizers of quasilinear functionals
We discuss the interior Hölder everywhere regularity for minimizers of quasilinear functionals of the type whose gradients belong to the Morrey space .
An example of a nonlinear second order elliptic system in three dimension
We provide an explicit example of a nonlinear second order elliptic system of two equations in three dimension to compare two -regularity theories. We show that, for certain range of parameters, the theory developed in (2002), gives a stronger result than the theory introduced in , 1995. In addition, there is a range of parameters where the first theory gives H"older continuity of solution for all , while the theory is not applicable at all.
A note on regular points for solutions of nonlinear elliptic systems
It is shown in this paper that gradient of vector valued function solution of a nonlinear elliptic system, cannot be too close to a straight line without being regular.
A note on regularity for nonlinear elliptic systems
The - regularity of the gradient of weak solutions to nonlinear elliptic systems is proved.
Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions)
Numerical solution of the Kiessl model
The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, is derived. An application of the method of discretization in time leads to a system of boundary-value problems for coupled pairs of nonlinear second order ODE’s. Some existence and regularity results for these problems are proved and an efficient numerical...
A remark on Morrey type regularity for nonlinear elliptic systems of second order
regularity for nonlinear elliptic systems of second order.
Interior regularity for weak solutions of nonlinear second order elliptic systems
Page 1