P-Harmonic obstacle problems.
Phenomena of compensation and estimates for partial differential equations.
Piecewise solutions of evolutionary variational inequalities. Application to double-layered dynamics modelling of equilibrium problems.
Plateau's Problem for surfaces of constant mean curvature form a global point of view.
Pohybové integrály v mechanice vyššího řádu a v teorii polí
Points critiques dans les problèmes variationnels sans compacité
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Positive solutions for indefinite inhomogeneous Neumann elliptic problems.
Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary
Prékopa–Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport
We investigate Prékopa-Leindler type inequalities on a Riemannian manifold equipped with a measure with density where the potential and the Ricci curvature satisfy for all , with some . As in our earlier work [14], the argument uses optimal mass transport on , but here, with a special emphasis on its connection with Jacobi fields. A key role will be played by the differential equation satisfied by the determinant of a matrix of Jacobi fields. We also present applications of the method...
Principe de Dirichlet pour les formes différentielles
Principe de Dirichlet pour les formes différentielles
Problèmes de valeurs propres et application à l'indice des surfaces de courbure moyenne constante
Problèmes d’évolution liés à l’énergie de Ginzburg-Landau
Problemi variazionali non lineari di tipo ellittico
Projectively flat Finsler metrics with orthogonal invariance
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three.
Pseudo-immersions superminimales d'une surface de Riemann dans une variété riemannienne de dimension 4
Puits multiples en mécanique semi-classique VI. (Cas des puits sous-variétés)
Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition 3.1) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford systems and those of O-systems, and between O-systems and orthogonal multiplications of the form , which allow us to solve the existence problems both for -systems and for umbilical quadratic harmonic morphisms simultaneously. The existence problem for general quadratic harmonic morphisms is then solved by the Splitting Lemma. We also study properties...