Minimax principles for critical-point theory in applications to quasilinear boundary-value problems.
Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
Minimax theorems on manifolds via Ekeland variational principle.
Minimizers of Dirichlet functionals on the -torus and the weak KAM theory
Minimizing Oseen-Frank energy for nematic liquid crystals : algorithms and numerical results
Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
Mixed boundary value problems for nonlinear elliptic systems in -dimensional Lipschitzian domains.
Mixed finite element approximation of an MHD problem involving conducting and insulating regions : the 2D case
We show that the Maxwell equations in the low frequency limit, in a domain composed of insulating and conducting regions, has a saddle point structure, where the electric field in the insulating region is the Lagrange multiplier that enforces the curl-free constraint on the magnetic field. We propose a mixed finite element technique for solving this problem, and we show that, under mild regularity assumption on the data, Lagrange finite elements can be used as an alternative to edge elements.
Mixed Finite Element approximation of an MHD problem involving conducting and insulating regions: the 2D case
We show that the Maxwell equations in the low frequency limit, in a domain composed of insulating and conducting regions, has a saddle point structure, where the electric field in the insulating region is the Lagrange multiplier that enforces the curl-free constraint on the magnetic field. We propose a mixed finite element technique for solving this problem, and we show that, under mild regularity assumption on the data, Lagrange finite elements can be used as an alternative to edge elements.
Mixed finite element in 3D in and
Mixed finite element methods for quasilinear second order elliptic problems : the -version
Mixed Finite Elements for Second Order Elliptic Problems in Three Variables.
Mixed formulation of elliptic variational inequalities and its approximation
The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian on a certain convex set . Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.
Mixed variational formulation of unilateral problems
Mixed-hybrid model of the fracture flow
Model problems from nonlinear elasticity: partial regularity results
In this paper we prove that every weak and strong local minimizer of the functional where , f grows like , g grows like and 1<q<p<2, is on an open subset of Ω such that . Such functionals naturally arise from nonlinear elasticity problems. The key point in order to obtain the partial regularity result is to establish an energy estimate of Caccioppoli type, which is based on an appropriate choice of the test functions. The limit case is also treated for weak local minimizers. ...
Module structure in Conley theory with some applications
A multiplicative structure in the cohomological version of Conley index is described following a joint paper by the author with K. Gęba and W. Uss. In the case of equivariant flows we apply a normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is applied then to obtain a mountain pass type theorem. Another illustrative application is a result on multiple bifurcations for some elliptic PDE.
Moltiplicatori spettrali per l'operatore di Ornstein-Uhlenbeck
Questa è una rassegna di alcuni risultati recenti sui moltiplicatori spettrali dell'operatore di Ornstein-Uhlenbeck, un laplaciano naturale sullo spazio euclideo munito della misura gaussiana. I risultati sono inquadrati nell'ambito della teoria generale dei moltiplicatori spettrali per laplaciani generalizzati.
Monogenic functions on surfaces.
Monotone Explicit Iterations of the Finite Element Approximations for the Nonlinear Boundary Value Problem.