4 papers
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…
Schauder estimates for a class of fully nonlinear elliptic PDEs: a geometric tangential approach
Junior da Silva Bessa, João Vitor da Silva, Laura Ospina
In this paper, we establish local and global Schauder estimates for classical solutions of a class of fully nonlinear elliptic partial differential equations, which are not necessa…
A fully nonlinear two-phase Alt-Phillips problem with gradient nonlinearities
Junior da Silva Bessa, João Vitor da Silva, Yuwei Hu +1
In this manuscript, we analyze a two-phase free boundary problem of Alt-Phillips-type driven by fully nonlinear elliptic equations with lower-order ingredients. More precisely, we…
Optimal regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
Junior da Silva Bessa, Jehan Oh
In this paper we establish optimal regularity up to the boundary for viscosity solutions of fully nonlinear elliptic equations with double phase degeneracy law and obliqu…