We prove global essential boundedness of the weak solutions to a kind of quasilinear systems. The principal part of the differential operator is componentwise coercive and supports controlled growths with respect to the solution and the gradient, while the lower order term exhibits componentwise controlled gradient growth. The x-behaviour of the nonlinearities is governed in terms of Morrey spaces.
Boundedness of solutions to a class of coercive systems with Morrey data
Palagachev, DianMembro del Collaboration Group
;SOFTOVA, Lyoubomira
Membro del Collaboration Group
2020
Abstract
We prove global essential boundedness of the weak solutions to a kind of quasilinear systems. The principal part of the differential operator is componentwise coercive and supports controlled growths with respect to the solution and the gradient, while the lower order term exhibits componentwise controlled gradient growth. The x-behaviour of the nonlinearities is governed in terms of Morrey spaces.File in questo prodotto:
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