Under general p,q-growth conditions, we prove that a Dirichlet problem has a weak solution and it is regular.
Existence and regularity for elliptic equations under p,q-growth / Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 19:(2014), pp. 693-724.
Existence and regularity for elliptic equations under p,q-growth
MARCELLINI, PAOLO;MASCOLO, ELVIRA
2014
Abstract
Under general p,q-growth conditions, we prove that a Dirichlet problem has a weak solution and it is regular.
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