Weak Linking Theorems and Schrödinger Equations 
with Critical Sobolev Exponent

Martin Schechter; Wenming Zou

Displaying similar documents to “Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent”

Sign changing solutions for elliptic equations with critical growth in cylinder type domains

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ESAIM: Control, Optimisation and Calculus of Variations

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We prove the existence of positive and of nodal solutions for -Δu = |u|u + µ|u|u, $u \in H_{0}^{1} (Ω)$ , where µ > 0 and 2 < < = , for a class of open subsets of $ℝ^{N}$ lying between two infinite cylinders.

Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet

Bernard Bonnard, Monique Chyba (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Consider a sub-riemannian geometry (U,D,g) where U is a neighborhood of 0 in R ³, D is a Martinet type distribution identified to ker ω, ω being the 1-form: $ω = d z - \frac{y^{2}}{2} d x$ , q=(x,y,z) and g is a metric on D which can be taken in the normal form:...

Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies

Yuri I. Ingster, Irina A. Suslina (2010)

ESAIM: Probability and Statistics

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We observe an infinitely dimensional Gaussian random vector where is a sequence of standard Gaussian variables and is an unknown mean. We consider the hypothesis testing problem alternatives $H_{ε, τ} : v \in V_{ε}$ for the sets $V_{ε} = V_{ε} (τ, ρ_{ε}) \subset l_{2}$ . The sets are -ellipsoids of semi-axes with -ellipsoid of semi-axes removed or similar Besov bodies with Besov bodies removed. Here $τ = (κ, R)$ or $τ = (κ, h, t, R); κ = (p, q, r, s)$ are the parameters which define the sets for given radii , 0 < ; is the asymptotical...