Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions

Quasi-linear Schr¨ odinger equations, orbital stability, orbital instability by blow-up, ground state solutions, variational methods.. The third author was partially supported by

We have defined the right and left deterministic hamiltonians and the effective flux limiter A, so to complete the proof of Theorem 2.7, we should prove the convergence result.. This

Laboratoire de Math´ ematiques et Physique Th´ eorique, CNRS UMR 7350, Facult´ e des Sciences, 37200 Tours France.. Departamento de Matematicas, Pontifica Universidad Catolica de

We extend our estimates to equations on complete non compact manifolds satisfying a lower bound estimate on the Ricci curvature, and derive some Liouville type theorems..

In fact, the starting point of the present work and one of its main motivations was to solve such problems, maybe under more restrictive assumptions than in [20] but (i) with

MURAT, Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions, Arch.. Ra-

Finally, the isolated singularities of positive solutions of (1.1) are completely described by the two types of singular solutions obtained in the previous theorem and we

Let u be the unique uniformly continuous viscosity solution of (1.4). Minimal time function.. To prove the claim of the theorem, we will use arguments from control theory. Let x be