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
Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow
Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
Nonexistence of entire positive solution for a conformal -Hessian inequality
In this paper, we study the nonexistence of entire positive solution for a conformal -Hessian inequality in via the method of proof by contradiction.
Nonexistence of local solutions to semilinear partial differential inequalities
Nonexistence of positive singular solutions for a class of semilinear elliptic systems.
Nonexistence of positive solution for quasilinear elliptic problems in the half-space.
Nonexistence of radial positive solutions for a nonpositone problem.
Nonexistence of solutions for quasilinear elliptic equations with -growth in the gradient.
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
We obtain sufficient conditions for nonexistence of nontrivial solutions for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.
Non-existence of wave operators for Stark effect Hamiltonians.
Non-existence result for quasi-linear elliptic equations with supercritical growth
We obtain a non-existence result for a class of quasi-linear eigenvalue problems when a parameter is small. By using Pohozaev identity and some comparison arguments, non-existence theorems are established for quasi-linear eigenvalue problems under supercritical growth condition.
Nonexistence Results for Semilinear Equations in Carnot Groups
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type ★.