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Sharp regularity estimates for quasi-linear elliptic dead core problems and applications
João Vítor da Silva, Ariel Salort
In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of -Laplace type () with strong absorption condition: $$ -\text{div…
Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy
João Vitor da Silva, Elzon C. B. Júnior, Giane Rampasso +1
We establish the existence and sharp global regularity results (, and estimates) for a class of fully nonlinear elliptic PDEs with unbalanced variab…
Sharp regularity for degenerate obstacle type problems: a geometric approach
João Vitor Da Silva, Hernán Vivas
We prove sharp regularity estimates for solutions of obstacle type problems driven by a class of degenerate fully nonlinear operators; more specifically, we consider viscosity solu…
The obstacle problem for a class of degenerate fully nonlinear operators
João Vitor Da Silva, Hernán Vivas
We study the obstacle problem for fully nonlinear elliptic operators with an anisotropic degeneracy on the gradient: \[ \min \left\{f-|Du|^γF(D^2u),u-ϕ\right\} = 0 \quad\textrm{ in…
The infinity-Fucik spectrum
Joao V. da Silva, Julio D. Rossi, Ariel M. Salort
In this article we study the behavior as of the Fucik spectrum for -Laplace operator with zero Dirichlet boundary conditions in a bounded domain $Ω\subset \m…