Blow-up of solutions to a periodic nonlinear dispersive rod equation.
Book review. Fučík, S., Nečas, J., Souček, J., Souček, V.: Spectral Analysis of Nonlinear Operators
Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Breaking of Symmetries for Forced Equations.
BV solutions and viscosity approximations of rate-independent systems
In the nonconvex case, solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate-independence should be considered as limit of systems with smaller and smaller viscosity. For the finite-dimensional case we study the vanishing-viscosity limit of doubly nonlinear equations given in terms of a differentiable energy functional and a dissipation potential that is a viscous regularization of a given rate-independent dissipation...
BV solutions and viscosity approximations of rate-independent systems∗
In the nonconvex case, solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate-independence should be considered as limit of systems with smaller and smaller viscosity. For the finite-dimensional case we study the vanishing-viscosity limit of doubly nonlinear equations given in terms of a differentiable energy functional and a dissipation potential that is a viscous regularization...
convergence of minimizers of a Ginzburg-Landau functional.
Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.
Caristi's fixed point theorem in probabilistic metric spaces
In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.
Cartesian currents in the calculus of variations
Cerami (C) Condition and Mountain Pass Theorem for Multivalued Mappings
Partially supported by Sapientia Foundation.We prove a general minimax result for multivalued mapping. As application, we give existence results of critical point of this mapping which satisfies the Cerami (C) condition.
Champs magnétiques et inégalités de Morse pour la -cohomologie
Nous démontrons des inégalités de Morse-Witten asymptotiques pour la dimension des groupes de cohomologie des puissances tensorielles d’un fibré holomorphe en droites hermitien au-dessus d’une variété - analytique compacte. La dimension du -ième groupe de cohomologie se trouve ainsi majorée par une intégrale de courbure intrinsèque, étendue à l’ensemble des points d’indice de la forme de courbure du fibré. La preuve repose sur un théorème spectral qui décrit la distribution asymptotique des...
Characterization and representation of the lower semicontinuous envelope of the elastica functional
Chern-Simons terms as an example of the relations between mathematics and physics
Circle homeomorphisms with flat critical points
Circle-valued Morse theory and Reidemeister torsion.
Classifications of some special infinity-harmonic maps.
Close cohomologous Morse forms with compact leaves
We study the topology of foliations of close cohomologous Morse forms (smooth closed 1-forms with non-degenerate singularities) on a smooth closed oriented manifold. We show that if a closed form has a compact leave , then any close cohomologous form has a compact leave close to . Then we prove that the set of Morse forms with compactifiable foliations (foliations with no locally dense leaves) is open in a cohomology class, and the number of homologically independent compact leaves does not decrease...