Solvability of fully nonlinear elliptic equations with natural growth and unbounded coefficients

Boyan Sirakov (1)

1 MODAL'X - Modélisation aléatoire de Paris X

We prove several results of existence, uniqueness and non-uniqueness of viscosity solutions of uniformly elliptic fully nonlinear equations with unbounded measurable ingredients and quadratic growth in the gradient.

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. Solvability of fully nonlinear elliptic equations with natural growth and unbounded coefficients. 2007. ⟨hal-00115525v2⟩