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Given a separable metric locally compact space , and a positive finite non-atomic measure on , we study the integral representation on the space of measures with bounded variation of the lower semicontinuous envelope of the functional with respect to the weak convergence of measures.
We study the integral representation properties of limits of sequences of integral functionals like under nonstandard growth conditions of -type: namely, we assume thatUnder weak assumptions on the continuous function , we prove -convergence to integral functionals of the same type. We also analyse the case of integrands depending explicitly on ; finally we weaken the assumption allowing to be discontinuous on nice sets.
We study the integral representation properties of limits of sequences of
integral functionals like under
nonstandard growth conditions of (p,q)-type: namely, we assume that
Under weak assumptions on the continuous function p(x), we prove
Γ-convergence to integral functionals of the same type.
We also analyse the case of integrands f(x,u,Du) depending explicitly
on u; finally we weaken the assumption allowing p(x) to be
discontinuous on nice sets.
Diamo condizioni sulle funzioni , e sulla misura affinché il funzionale sia -semicontinuo inferiormente su . Affrontiamo successivamente il problema del rilassamento.
We consider the identification of a distributed parameter in an elliptic variational inequality. On the basis of an optimal control problem formulation, the application of a primal-dual penalization technique enables us to prove the existence of multipliers giving a first order characterization of the optimal solution. Concerning the parameter we consider different regularity requirements. For the numerical realization we utilize a complementarity function, which allows us to rewrite the optimality...
We consider the identification of a distributed parameter in an elliptic
variational inequality. On the basis of an optimal control problem
formulation, the application of a primal-dual penalization
technique enables us to prove the existence
of multipliers giving a first order characterization of the optimal solution.
Concerning the parameter we consider different
regularity requirements. For the numerical realization we utilize a complementarity function,
which allows us to rewrite the optimality...
In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator....
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