Mesino Espinosa, Efren

Publication Search Results

Now showing 1 - 1 of 1

Generalized quasi-linear fractional Venttsel'-type problems over non-smooth regions
(2024-07-10) Mesino Espinosa, Efren; Rios Soto, Karen; College of Arts and Sciences - Sciences; Vélez Santiago, Alejandro; Portnoy, Arturo; Romero Oliveras, Juan; Department of Mathematics; Rivera Gallego, Wilson
Let Ω ⊆ R^N be a bounded (ε, δ)-domain with boundary a d-set, for N ≥ 2. We investigate the solvability and establish a priori estimates for the generalized elliptic quasi-linear fractional problem involving the regional fractional p-Laplace operator with Neumann or Robin boundary conditions. First, we prove the existence and uniqueness of weak solutions for the problem, and we show that such solutions are globally bounded. Moreover, we establish a priori estimates for the difference of weak solutions of our problem. Additionally, we present results on inverse positivity and a weak comparison principle.