Elliptic corner operators in spaces with continuous radial asymptotics II
Asymptotic expansions at the origin with respect to the radial variable are established for solutions to equations with smooth 2-dimensional singular Fuchsian type operators.
Elliptic equations and rearrangements
Elliptic equations in weighted Sobolev spaces on unbounded domains.
Elliptic equations with critical Sobolev exponents in dimension 3
Elliptic equations with limiting Sobolev exponent: the impact of the Green's function
Elliptic perturbations for Hammerstein equations with singular nonlinear term.
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Elliptic problems with nonmonotone discontinuities at resonance.
Elliptic regularity and essential self-adjointness of Dirichlet operators on
Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.
Elliptische Differentialgleichungen mit variablen Koeffizienten in Gebieten mit unbeschränktem Rand.
Embedded eigenvalues and resonances of Schrödinger operators with two channels
In this article, we give a necessary and sufficient condition in the perturbation regime on the existence of eigenvalues embedded between two thresholds. For an eigenvalue of the unperturbed operator embedded at a threshold, we prove that it can produce both discrete eigenvalues and resonances. The locations of the eigenvalues and resonances are given.
Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
En ε-uniformly convergent non-conforming finite element method for a singularly perturbed elliptic problem in two dimensions
Encore sur les équations hyperboliques avec petit paramètre dans les espaces de Banach généraux
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 Convergence Results for Strongly Damped Nonlinear Wave Equations.
Energy decay estimates for the damped Euler-Bernoulli equation with an unbounded localizing coefficient.
Energy decay for wave equations of -Laplacian type with weakly nonlinear dissipation.
Energy decay of solutions of a wave equation of -Laplacian type with a weakly nonlinear dissipation.