Bojarski-Meyers estimate for a solution to the Zaremba problem for Poisson's equations with drift

Key Points

• The estimate shows increased integrability for the gradient of the solution to the Zaremba problem.
• This analysis considers a bounded domain with Lipschitz boundary where Dirichlet and Neumann conditions alternate.
• By applying this estimate, better understanding of gradient behavior in solutions can be achieved.
• Findings may enhance the approach to solving Poisson's equation with drift in complex domains.

Abstract