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math.AP2026
Bifurcation phenomena in one-phase quasilinear equations with nonstandard growth
Junior da Silva Bessa, Alan Pio Sousa
The bifurcation phenomenon in a singularly perturbed one-phase free boundary problem governed by the g-Laplacian is established under prescribed boundary conditions. This bifurcati…
math.AP2026
Hölder regularity up to the boundary for the g-Laplacian on Reifenberg flat domains
Alan Pio Sousa
We establish boundary Hölder regularity for weak solutions to a class of nonlinear elliptic Dirichlet problems with nonstandard growth posed on Reifenberg flat domains. More precis…
math.AP2026
Regularity to Thin Obstacle Problem in Orlicz spaces
Junior da Silva Bessa, Paulo Henryque da Costa Silva, Alan Pio Sousa
In this work, we establish regularity results for minimizers of the energy functional associated with the thin obstacle problem in Orlicz spaces. More precisely, we prove the Lipsc…