The existence problem is solved, and global pointwise estimates of solutions are obtained
for quasilinear and Hessian equations of Lane-Emden type, including the following two …

Page 1 Local and Global Aspects of Quasilinear Degenerate Elliptic Equations Quasilinear
Elliptic Singular Problems Laurent Véron . \º WOrld Scientific Page 2 Local and Global Aspects …

We show that different notions of solutions to measure data problems involving p-Laplace
type operators and nonnegative source measures are locally essentially equivalent. As an …

We study some properties of the solutions of (E)− Δ p u+|∇ u| q= 0 in a domain Ω⊂ RN,
mostly when p≥ q> p− 1. We give a universal a priori estimate of the gradient of the …

We give necessary and sufficient conditions for the existence of weak solutions to the model
equation− Δ pu= σ uq on R n, in the case 0< q< p− 1, where σ≥ 0 is an arbitrary locally …

We solve the existence problem in the renormalized, or viscosity sense, and obtain global
pointwise estimates of solutions for quasilinear and Hessian equations with measure …

We study the existence of solutions to the equation− Δ p u+ g (x, u)= μ when g (x,.) is a
nondecreasing function and μ a measure. We characterize the good measures, ie the ones …

We establish a precise connection between two elliptic quasilinear problems with Dirichlet
data in a bounded domain of $\mathbb {R}^{N}. $ The first one, of the form\[-\Delta_ {p} …

In this memoir, we study the existence and regularity of the quasilinear parabolic
equations:\begin {equation*} u_t-\operatorname {div}(A (x, t,\nabla u))= B (u,\nabla …

We study quasilinear elliptic equations of the type− Δ pu= σ uq in R n, where Δ pu=∇⋅(∇
u|∇ u| p− 2) is the p-Laplacian (or a more general A-Laplace operator div A (x,∇ u)), 0< q< …