Erratum
Erratum: Geometry of the Rolling Ellipsoid
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)
Erratum to : “Multiple critical points of perturbed symmetric strongly indefinite functionals”
Esistenza e molteplicità di soluzioni per equazioni ellittiche nonlineari
Estimates for critical groups of solutions to quasilinear elliptic systems.
Estimates on the eigenvalues for some nonlinear ordinary differential operators
Estimations of the best constant involving the norm in Wente’s inequality and compact -surfaces in euclidean space
Estimations of the best constant involving the L2 norm in Wente's inequality and compact H-surfaces in Euclidean space
In the first part of this paper, we study the best constant involving the L2 norm in Wente's inequality. We prove that this best constant is universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The second part concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We will establish the existence of a non-trivial critical point for a plan domain with small holes.
Estudio de las variedades de contacto compactas que admiten una acción foliante.
Euler-Poincaré index theory on Banach manifolds
Everywhere regularity theorems for mappings which minimize -energy
Evolution of Eresmann's jet theory
Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.
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....
Examples of Harmonic Maps from Disks to Hemisphere.
Existence and asymptotic behavior of solutions for weighted -Laplacian system multipoint boundary value problems in half line.