5 citations · 5 across the 10 of their papers we have counts for
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Regularity estimates for fully nonlinear elliptic PDEs with general Hamiltonian terms and unbounded ingredients
João Vitor da Silva, Gabrielle Nornberg
We develop an optimal regularity theory for -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form whose gradient growth is described throu…
Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries
J. V. da Silva, R. A. Leitão, G. C. Ricarte
In this manuscript we study geometric regularity estimates for problems driven by fully nonlinear elliptic operators under strong absorption conditions. We establish improved geome…
Regularity for degenerate evolution equations with strong absorption
Joao da Silva, Pablo Ochoa, Analía Silva
In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of -Laplacian type () under a strong absorption condition: $ Δ_p…
Non-existence of dead cores in fully nonlinear elliptic models
Joao Vitor da Silva, Disson dos Prazeres, Humberto Ramos Quoirin
We investigate non-existence of nonnegative dead-core solutions for the problem $$|Du|^γF(x, D^2u)+a(x)u^q = 0 \quad \mbox{in} \quad Ω, \quad u=0 \quad \mbox{ on } \quad \partialΩ.…