We prove the existence of solutions for a filtration problem related to an incompressible flow governed by a nonlinear Darcy's law. Generalized boundary conditions are allowed. Bounded and unbounded domains are considered.
"A filtration problem with nonlinear Darcy's law and generalized boundary conditions." Adv. Differential Equations 5 (4-6) 515 - 555, 2000. https://doi.org/10.57262/ade/1356651339