Editorial
Editorials' note
Eigenvalues of the -Laplacian in with indefinite weight
We consider the nonlinear eigenvalue problem in with . A condition on indefinite weight function is given so that the problem has a sequence of eigenvalues tending to infinity with decaying eigenfunctions in . A nonexistence result is also given for the case .
Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses.
Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen, die ein Dirichletproblem lösen.
Eine globalanalytische Behandlung des Douglas'schen Problems.
Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
Elliptic resonance problems with unequal limits at infinity.
Energies of -valued harmonic maps on polyhedra with tangent boundary conditions
Energy and Morse index of solutions of Yamabe type problems on thin annuli
We consider the Yamabe type family of problems , in , on , where is an annulus-shaped domain of , , which becomes thinner as . We show that for every solution , the energy as well as the Morse index tend to infinity as . This is proved through a fine blow up analysis of appropriate scalings of solutions whose limiting profiles are regular, as well as of singular solutions of some elliptic problem on , a half-space or an infinite strip. Our argument also involves a Liouville type theorem...
Energy estimates and Liouville theorems for harmonic maps
Energy gaps for exponential Yang-Mills fields
In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.
Energy minimizing harmonic maps with an obstacle at the free boundary.
Energy quantization and mean value inequalities for nonlinear boundary value problems
We give a unified statement and proof of a class of well known mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to domains with boundary, requiring a (possibly nonlinear) bound on the normal derivative at the boundary. These inequalities give rise to an energy quantization principle for sequences of solutions of boundary value problems that have bounded energy and whose energy densities satisfy nonlinear bounds on the Laplacian and normal...
Energy quantization for Yamabe's problem in conformal dimension.
Energy spectrum of certain harmonic mappings
Equivalence and zero sets of certain maps in infinite dimensions
Equivalence and zero sets of certain maps on infinite dimensional spaces are studied using an approach similar to the deformation lemma from the singularity theory.
Equivariant harmonic maps between manifolds with metrics of -signature
Equivariant harmonic maps into the sphere via isoparametric maps.
Errata-Corrigé : «Remarques sur les équations de Navier-Stokes stationnaires»