We get existence, uniqueness and non-uniqueness of viscosity solutions of uniformly elliptic
fully nonlinear equations of the Hamilton–Jacobi–Bellman–Isaacs type with unbounded …

In this paper, we study fully non-linear elliptic equations in non-divergence form which can
be degenerate or singular when “the gradient is small”. Typical examples are either …

This paper studies a maximal L q-regularity property for nonlinear elliptic equations of
second order with a zeroth order term and gradient nonlinearities having superlinear and …

The weak Harnack inequality for Lp-viscosity solutions is shown for fully nonlinear, second
order uniformly elliptic partial differential equations with unbounded coefficients and …

We prove the existence of two fundamental solutions Φ and ̃Φ of the PDE\input amssym F
(D^ 2 Φ)= 0\rm in {R^ n ∖ {0\} for any positively homogeneous, uniformly elliptic operator F …

We extend the Caffarelli-Świech-Winter C 1, α regularity estimates to L p-viscosity solutions
of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth …

We develop a new, unified approach to the following two classical questions on elliptic
PDE:• the strong maximum principle for equations with non-Lipschitz nonlinearities,• the at …

In this paper, we prove up to the boundary gradient estimates for viscosity solutions to
inhomogeneous nonlinear Free Boundary Problems (FBP) governed by fully nonlinear and …

We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient
term. We look for local estimates, such as weak Harnack inequality and local maximum …

In this work, we show the existence/uniqueness of L p-viscosity solutions for a fully non-
linear obstacle problem with super-linear gradient growth, unbounded ingredients and …