We prove regularity properties in the vector valued case for minimizers of variational integrals of the form$A(u) = integral(Omega)A(x, u, Du)dx$ where the integrand $A(x, u, Du)$ is not necessarily continuous respect to the variable x, grows polinomially like vertical bar xi vertical $ar(p), p >= 2$.
Regularity of minimizers of some variational integrals with discontinuity
RAGUSA, Maria Alessandra
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2008-01-01
Abstract
We prove regularity properties in the vector valued case for minimizers of variational integrals of the form$A(u) = integral(Omega)A(x, u, Du)dx$ where the integrand $A(x, u, Du)$ is not necessarily continuous respect to the variable x, grows polinomially like vertical bar xi vertical $ar(p), p >= 2$.File in questo prodotto:
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