A remark on -harmonic functions on Riemannian manifolds.
A remark on infinity harmonic functions.
A remark on some nonlinear elliptic problems.
A result on the bifurcation from the principal eigenvalue of the -Laplacian.
A semi-smooth Newton method for solving elliptic equations with gradient constraints
Semi-smooth Newton methods for elliptic equations with gradient constraints are investigated. The one- and multi-dimensional cases are treated separately. Numerical examples illustrate the approach and as well as structural features of the solution.
A semi-smooth Newton method for solving elliptic equations with gradient constraints
Semi-smooth Newton methods for elliptic equations with gradient constraints are investigated. The one- and multi-dimensional cases are treated separately. Numerical examples illustrate the approach and as well as structural features of the solution.
A strongly degenerate quasilinear equation : the elliptic case
We prove existence and uniqueness of entropy solutions for the Neumann problem for the quasilinear elliptic equation , where , , and is a convex function of with linear growth as , satisfying other additional assumptions. In particular, this class includes the case where , , being a convex function with linear growth as . In the second part of this work, using Crandall-Ligget’s iteration scheme, this result will permit us to prove existence and uniqueness of entropy solutions for the...
A weak maximum principle and estimates of for nonlinear degenerate elliptic equations
A weighted isoperimetric inequality and applications to symmetrization.
Absence of positive eigenvalues for a class of subelliptic operators.
An approximation theorem for solutions of degenerate semilinear elliptic equations
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
An eigenvalue problem related to Hardy’s inequality
An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions.
An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations
The main result establishes that a weak solution of degenerate quasilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate quasilinear elliptic equations.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells.
An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem
We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme
Analyse sur les boules d' un opérateur sous-elliptique.
Approximation of a degenerated elliptic boundary value problem by a finite element method