Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives.
Necessary conditions for strong hyperbolicity of first order systems
Necessary conditions for the multiple integral problem and elliptic variational inequalities
Necessary conditions of existence for an elliptic equation with source term and measure data involving -Laplacian.
Néel and Cross-Tie wall energies for planar micromagnetic configurations
We study a two-dimensional model for micromagnetics, which consists in an energy functional over -valued vector fields. Bounded-energy configurations tend to be planar, except in small regions which can be described as vortices (Bloch lines in physics). As the characteristic “exchange-length” tends to 0, they converge to planar divergence-free unit norm vector fields which jump along line singularities. We derive lower bounds for the energy, which are explicit functions of the jumps of the limit....
Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations
We study a two-dimensional model for micromagnetics, which consists in an energy functional over S2-valued vector fields. Bounded-energy configurations tend to be planar, except in small regions which can be described as vortices (Bloch lines in physics). As the characteristic “exchange-length” tends to 0, they converge to planar divergence-free unit norm vector fields which jump along line singularities. We derive lower bounds for the energy, which are explicit functions of the jumps of the limit....
Nehari's problem and competing species systems
Nested axi-symmetric vortex rings
Network tomography.
Neue Kriterien für das Fehlen von L2-Lösungen für -...v = f(x, v) im Rn unter besonderer Berücksichtigung des linearen Falles.
Neuer und directer Beweis eines Fundamentalsatzes der Invariantentheorie.
Neumann and second boundary value problems for hessian and Gauß curvature flows
Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary
Neumann problem for one-dimensional nonlinear thermoelasticity
The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Neumann problem in a class of harmonic functions in domains with a piecewise-Lyapunov boundary.
Neumann problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces
We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz–Sobolev space.
Neumann-Neumann algorithms for spectral elements in three dimensions
Neumann-Neumann methods for vector field problems.
Nevanlinna's first fundamental theorem for supertemperatures.
New a priori estimates for nondiagonal strongly nonlinear parabolic systems
We consider nondiagonal elliptic and parabolic systems of equations with quadratic nonlinearities in the gradient. We discuss a new description of regular points of solutions of such systems. For a class of strongly nonlinear parabolic systems, we estimate locally the Hölder norm of a solution. Instead of smallness of the oscillation, we assume local smallness of the Campanato seminorm of the solution under consideration. Theorems about quasireverse Hölder inequalities proved by the author are essentially...