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A directional compactification of the complex Bloch variety.
A Hörmander-type spectral multiplier theorem for operators without heat kernel
Hörmander’s famous Fourier multiplier theorem ensures the -boundedness of whenever for some , where we denote by the set of functions satisfying the Hörmander condition for derivatives. Spectral multiplier theorems are extensions of this result to more general operators and yield the -boundedness of provided for some sufficiently large. The harmonic oscillator shows that in general is not sufficient even if has a heat kernel satisfying gaussian estimates. In this paper,...
A Spectral Gap Theorem for Dirac Operators with Central Field.
A unified optimality condition for eigenvalue problems
Absence of Positive Eigenvalues in a Class of Multiparticle Quantum Systems.
Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
Boundary behaviour of eigenfunctions of the Laplacian in a bi-tree.
Boundary-Variation Solution of Eigenvalue Problems for Elliptic Operators.
Comparaison entre la décroissance de fonctions propres pour les opérateurs de Dirac et de Klein-Gordon. Application à l'étude de l'effet tunnel
Construction de laplaciens dont une partie finie (avec multiplicités) du spectre est donnée
Contact between elastic bodies. I. Continuous problems
Problems of a unilateral contact between bounded bodies without friction are considered within the range of two-dimensional linear elastostatics. Two classes of problems are distinguished: those with a bounded contact zone and with an enlargign contact zone. Both classes can be formulated in terms of displacements by means of a variational inequality. The proofs of existence of a solution are presented and the uniqueness discussed.
Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Développements asymptotiques dans l'approximation de Born-Oppenheimer
Effet tunnel pour l'équation de Schrödinger avec champ magnétique
Eigenfunctions and Nodal Sets
Eigenvalue problems of quasilinear elliptic systems on Rn.
In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems-Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = λ|u|p-2ui, for x ∈ Rn, 1 ≤ i ≤ N and u = (u1, u2, ..., uN) ∈ E = {v = (v1, v2, ..., vN) | vi ∈ H1(Rn), 1 ≤ i ≤ N},where aαβ(x,u) satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before.
Erratum : “Analytic properties of the resolvent for the Helmholtz operator oustide a periodic surface”
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.