Hitoshi Ishii

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math.AP2026

Balance between degenerate elliptic operators and coercive Hamiltonians

Isabeau Birindelli, Giulio Galise, Hitoshi Ishii

For $p > 1$ , we consider the boundary value problem for fully nonlinear degenerate elliptic equations $- λ_{i} (D^{2} u) + ∣ D u ∣^{p} + γ u = f (x)$ in bounded domains with Dirichlet or boundary blow-u…

math.AP2026

Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions

Isabeau Birindelli, Ariela Briani, Hitoshi Ishii

We consider asymptotic behavior of solutions to the oblique-Dirichlet mixed boundary conditions without the strict monotonicity of the equation in the variable corresponding to the…

math.AP2024

Fully nonlinear elliptic PDEs in thin domains with oblique boundary condition

Isabeau Birindelli, Ariela Briani, Hitoshi Ishii

In this preprint we consider fully nonlinear equations in thin domains with oblique boundary condition, finding some new phenomena, in particular the limit equation contains "new t…