Leray Lions degenerated problem with general growth condition.
Liénard type -Laplacian neutral Rayleigh equation with a deviating argument.
Local asymptotic stability for nonlinear quadratic functional integral equations.
Local center manifold for parabolic equations with infinite delay
The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.
Local Exchange Potentials for Electronic Structure Calculations
The Hartree-Fock exchange operator is an integral operator arising in the Hartree-Fock model as well as in some instances of the density functional theory. In a number of applications, it is convenient to approximate this integral operator by a multiplication operator, i.e. by a local potential. This article presents a detailed analysis of the mathematical properties of various local approximations to the nonlocal Hartree-Fock exchange operator including the Slater potential, the optimized effective...
Long time existence of solutions to 2d Navier-Stokes equations with heat convection
Global existence of regular solutions to the Navier-Stokes equations for (v,p) coupled with the heat convection equation for θ is proved in the two-dimensional case in a bounded domain. We assume the slip boundary conditions for velocity and the Neumann condition for temperature. First an appropriate estimate is shown and next the existence is proved by the Leray-Schauder fixed point theorem. We prove the existence of solutions such that , , s>2.
Lower bounds on wave packet propagation by packing dimensions of spectral measures.
Markov operators and n-copulas
We extend the definition of Markov operator in the sense of J. R. Brown and of earlier work of the authors to a setting appropriate to the study of n-copulas. Basic properties of this extension are studied.
Mathematical analysis of a generalized chiral quark soliton model.
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Measures of noncompactness in the study of solutions of nonlinear differential and integral equations
The aim of this paper is to make an overview of some existence results for nonlinear differential and integral equations. Those results were obtained by the author and his co-workers during last years with some help of the technique of measures of noncompactness and a fixed point theorem of Darbo type.
Metal-insulator transition for the almost Mathieu operator.
Méthodes opérationnelles dans l'étude des problèmes aux limites
Minimization of constrained quadratic forms in Hilbert spaces.
Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.
Mixed variational inequalities and economic equilibrium problems.
Monotone operators in divergence form with -dependent multivalued graphs
We prove the existence of solutions to , together with appropriate boundary conditions, whenever is a maximal monotone graph in , for every fixed . We propose an adequate setting for this problem, in particular as far as measurability is concerned. It consists in looking at the graph after a rotation, for every fixed ; in other words, the graph is defined through , where is a Carathéodory contraction in . This definition is shown to be equivalent to the fact that is pointwise monotone...
Monotone positive solution of nonlinear third-order BVP with integral boundary conditions.
Monotone positive solutions for -Laplacian equations with sign changing coefficients and multi-point boundary conditions.
Monotone technique for second order discontinuous differential inclusions.