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math.AP2025
Quasi-linear parabolic equations having a superlinear gradient term which depends on the solution
Andrea Dall'Aglio, Martina Magliocca, Sergio Segura de León
In this paper, we study existence and regularity for solutions to parabolic equations having a superlinear lower order term depending on both the solution and its gradient. Two dif…
math.AP2023
The role of absorption terms in Dirichlet problems for the prescribed mean curvature equation
Francescantonio Oliva, Francesco Petitta, Sergio Segura de León
In this paper we study existence and uniqueness of solutions to Dirichlet problems as $$ \begin{cases} g(u) -{\rm div}\left(\frac{D u}{\sqrt{1+|D u|^2}}\right) = f & \text{in}\;Ω,\…