Bifurcation of the equivariant minimal interfaces in a hydromechanics problem.
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.
Coerciveness property for a class of non-smooth functionals.
Coercivity of set-valued mappings on metric spaces.
Coercivity properties for order nonsmooth functionals.
Cohomology of the variational complex in the class of exterior forms of finite jet order.
Convex billiards and a theorem by E. Hops.
Differential-geometric and variational background of classical gauge field theories.
Editorial
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Erratum
Evolution of Eresmann's jet theory
Examples from the calculus of variations. I. Nondegenerate problems
The criteria of extremality for classical variational integrals depending on several functions of one independent variable and their derivatives of arbitrary orders for constrained, isoperimetrical, degenerate, degenerate constrained, and so on, cases are investigated by means of adapted Poincare-Cartan forms. Without ambitions on a noble generalizing theory, the main part of the article consists of simple illustrative examples within a somewhat naive point of view in order to obtain results resembling...
Examples from the calculus of variations. II. A degenerate problem
Continuing the previous Part I, the degenerate first order variational integrals depending on two functions of one independent variable are investigated.
Examples from the calculus of variations. III. Legendre and Jacobi conditions
We will deal with a new geometrical interpretation of the classical Legendre and Jacobi conditions: they are represented by the rate and the magnitude of rotation of certain linear subspaces of the tangent space around the tangents to the extremals. (The linear subspaces can be replaced by conical subsets of the tangent space.) This interpretation can be carried over to nondegenerate Lagrange problems but applies also to the degenerate variational integrals mentioned in the preceding Part II.
Examples from the calculus of variations. IV. Concluding review
Variational integrals containing several functions of one independent variable subjected moreover to an underdetermined system of ordinary differential equations (the Lagrange problem) are investigated within a survey of examples. More systematical discussion of two crucial examples from Part I with help of the methods of Parts II and III is performed not excluding certain instructive subcases to manifest the significant role of generalized Poincaré-Cartan forms without undetermined multipliers....