We prove higher integrability properties of solutions to variational problems of minimizing integral(Omega) [e(f)(parallel to del u(x)parallel to) + g(x, u(x))] dx where f is a convex function satisfying some additional conditions
Cellina, A., Mazzola, M. (2011). Higher integrability for solutions to variational problems with fast growth. JOURNAL OF CONVEX ANALYSIS, 18(1), 173-180.
Higher integrability for solutions to variational problems with fast growth
CELLINA, ARRIGO
;MAZZOLA, MARCO
2011
Abstract
We prove higher integrability properties of solutions to variational problems of minimizing integral(Omega) [e(f)(parallel to del u(x)parallel to) + g(x, u(x))] dx where f is a convex function satisfying some additional conditions
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