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
Patrizia Di Gironimo;Sara Monsurro
;Gabriella Zecca
2024-01-01
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.File in questo prodotto:
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