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

Pedro Girão, Miguel Ramos (2010)

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...

Mathematical and numerical analysis of a stratigraphic model

Véronique Gervais, Roland Masson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper, we consider a multi-lithology diffusion model used in stratigraphic modelling to simulate large scale transport processes of sediments described as a mixture of lithologies. This model is a simplified one for which the surficial fluxes are proportional to the slope of the topography and to a lithology fraction with unitary diffusion coefficients. The main unknowns of the system are the sediment thickness , the surface concentrations $c_{i}^{s}$ in lithology of the sediments...

Exponential convergence of quadrature for integral operators with Gevrey kernels

Alexey Chernov, Tobias von Petersdorff, Christoph Schwab (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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Galerkin discretizations of integral equations in $ℝ^{d}$ require the evaluation of integrals $I = \int_{S^{(1)}} \int_{S^{(2)}} g (x, y) d y d x$ where , are -simplices and has a singularity at = . We assume that is Gevrey smooth for $\neq$ and satisfies bounds for the derivatives which allow algebraic singularities at = . This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules $𝒬_{N}$ using function evaluations of which...