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math.AP2016★ 11 cited
Globally Lipschitz minimizers for variational problems with linear growth
Lisa Beck, Miroslav Bulíček, Erika Maringová
We study the minimization of convex, variational integrals of linear growth among all functions in the Sobolev space with prescribed boundary values (or its equivalent fo…
math.AP2016★ 32 cited
On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth
Lisa Beck, Miroslav Bulíček, Josef Málek +1
We investigate the properties of certain elliptic systems leading, a~priori, to solutions that belong to the space of Radon measures. We show that if the problem is equipped with a…