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An automorphism a of a group G is called an artinian automorphism if for every strictly descending chain of subgroups of G there exists a positive integer such that for every . In this paper we show that in many cases the group of all artinian automorphisms of coincides with the group of all power automorphisms of .
-convergence techniques and relaxation results of constrained energy functionals are used to identify the limiting energy as the thickness approaches zero of a ferromagnetic thin structure , , whose energy is given by
subject to
and to the constraint
where is any continuous function satisfying -growth assumptions with . Partial results are also obtained in the case , under an additional assumption...
-convergence techniques and relaxation results of
constrained energy functionals are used to identify the limiting energy as the
thickness approaches zero of a ferromagnetic thin
structure , , whose
energy is given by
subject to
and to the constraint
where is any continuous function satisfying -growth assumptions
with .
Partial results are also obtained in the case , under
an additional assumption on .
In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution and its stability properties with...
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