In an unbounded domain of RN, N≥2, we prove existence and Stampacchia type regularity of solutions to some noncoercive nonlinear Dirichlet problems whose model case appears in stationary convection–diffusion phenomena. The drift term is controlled through a function in a suitable functional space, strictly containing Lebesgue one. We obtain some a priori estimates, by contradiction, via a weak maximum principle.
On some noncoercive nonlinear problems in unbounded domains / Di Gironimo, Patrizia; Monsurrò, Sara; Zecca, Gabriella. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 32:1(2025). [10.1007/s00030-024-01015-5]
On some noncoercive nonlinear problems in unbounded domains
Zecca, Gabriella
2025
Abstract
In an unbounded domain of RN, N≥2, we prove existence and Stampacchia type regularity of solutions to some noncoercive nonlinear Dirichlet problems whose model case appears in stationary convection–diffusion phenomena. The drift term is controlled through a function in a suitable functional space, strictly containing Lebesgue one. We obtain some a priori estimates, by contradiction, via a weak maximum principle.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
