Browsing by Author "Dolbeault, Jean"

Now showing items 1-6 of 6

    • The Euclidean Onofri Inequality in Higher Dimensions 
      Pino Manresa, Manuel del; Dolbeault, Jean (Oxford University Press, 2013)
      The classical Onofri inequality in the two-dimensional sphere assumes a natural form in the plane when transformed via stereographic projection. We establish an optimal version of a generalization of this inequality in ...
    • Improved interpolation inequalities on the sphere 
      Dolbeault, Jean; Esteban, María J.; Kowalczyk, Michal; Loss, Michael (American Institute Of Mathematical Sciences, 2014)
      This paper contains a review of available methods for establishing improved interpolation inequalities on the sphere for subcritical exponents. Pushing further these techniques we also establish some new results, ...
    • Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems 
      Dolbeault, Jean; Felmer Aichele, Patricio; Loss, M.; Paturel, E. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-09-01)
      This paper is devoted to inequalities of Lieb-Thirring type. Let V be a nonnegative potential such that the corresponding Schrodinger operator has an unbounded sequence of eigenvalues (lambda(i) (V))(i is an element of ...
    • Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local ... 
      Dolbeault, Jean; Felmer Aichele, Patricio (PERGAMON-ELSEVIER SCIENCE LTD, 2004-08)
      We prove local monotonicity and symmetry properties for nonnegative solutions of scalar field equations with nonlinearities which are not Lipschitz. Our main tools are a local moving plane method and a unique continuation ...
    • Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences 
      Dolbeault, Jean; Esteban, María J.; Kowalczyk, Michal; Loss, Michael (Springer, 2013)
      This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincar´e, logarithmic Sobolev and critical Sobolev ...
    • Travelling fronts in stochastic Stokes' drifts 
      Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Michal (ELSEVIER, 2008-10-01)
      By analytical methods we study the large time properties of the solution of a simple one-dimensional model of stochastic Stokes' drift. Semi-explicit formulae allow us to characterize the behaviour of the solutions and ...