Newton's Method for Convex Nonlinear Elliptic Boundary Value Problems.
Newton's Method for Gradient Equations Based upon the Fixed Point Map: Convergence and Complexity Study.
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators
Nodal domain theorems à la Courant.
Nodal domains and spectral minimal partitions
Nodal lines of eigenfunctions of the fixed membrane problem in general convex domains.
Nodal solutions for scalar curvature type equations with perturbation terms on compact Riemannian manifolds
In this paper we study the nodal solutions for scalar curvature type equations with perturbation. The main results concern the existence of such solutions and the exact description of their zero set. From this we deduce, in particular cases, some multiplicity results.
Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter
Non hypoellipticité d'opérateurs elliptiques singuliers
Non linear systems of the type of the stationary Navier-Stokes system.
Non résonance près de la première valeur propie d'un système elliptique quasilinéaire de type potentiel.
Noncoercive boundary value problems for the Lapace equation with a spectral parameter.
Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations
The paper deals with error estimates and lower bound approximations of the Steklov eigenvalue problems on convex or concave domains by nonconforming finite element methods. We consider four types of nonconforming finite elements: Crouzeix-Raviart, , and enriched Crouzeix-Raviart. We first derive error estimates for the nonconforming finite element approximations of the Steklov eigenvalue problem and then give the analysis of lower bound approximations. Some numerical results are presented to...
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P1, as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H1(Ω)...
Non-Divergence From Operators and Variations on Yau's Explosion Criterion.
Nonexistence and radial symmetry of positive solutions of semilinear elliptic systems.
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type.
Nonexistence of classical solutions of the Dirichlet problem for fully nonlinear elliptic equations