A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity

Key Words : Stationary sets, Sidon sets, sets of continuity, Rajchman sets, random Fourier series, Riesz products, U C sets.. AMS classifications : 42A20, 42A55, 42C10,

The rst part of this work is devoted to the analysis of orbital and asymptotic stability of the solitary waves of a Schrödinger equation with concentrated nonlinearity in

(2) Does there exist a finitely generated subgroup of Aut(C 2 ) with no faithful linear representation (see Remark

Relaxed formulation for the Steklov eigenvalues: existence of optimal shapes In this section we extend the notion of the Steklov eigenvalues to arbitrary sets of finite perime- ter,

Using the method of moments, we prove that any polynomial mo- ment of the solution of the homogeneous Boltzmann equation with hard potentials or hard spheres is bounded as soon as

The fixed point technique was used in [13] to estimate the perturbation to the standing soli- tary wave of the Nonlinear Schr¨odinger (NLS) equation when either the external

2, we have plotted the complex quasiparticle spectrum for strong axial tilt while neglecting the ∝ ω terms in the self-energy, resulting in a flat bulk Fermi ribbon with a

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