We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.
Noncoercive quasilinear elliptic operators with singular lower order terms / Farroni, Fernando; Greco, Luigi; Moscariello, Gioconda; Zecca, Gabriella. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 60:3(2021). [10.1007/s00526-021-01965-z]
Noncoercive quasilinear elliptic operators with singular lower order terms
Farroni, Fernando;Greco, Luigi;Moscariello, Gioconda
;Zecca, Gabriella
2021
Abstract
We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
