Sharp summability for Monge Transport density  via Interpolation

Luigi De Pascale; Aldo Pratelli

Asymmetric heteroclinic double layers

Michelle Schatzman (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Let be a non-negative function of class C from $^{2}$ to , which vanishes exactly at two points and . Let (, ) be the set of functions of a real variable which tend to at -∞ and to at +∞ and whose one dimensional energy $E_{1} (v) = \int_{[W (v) + {| v^{'} |}^{2} / 2]} x$ is finite. Assume that there exist two isolated minimizers and of the energy over (, ). Under a mild coercivity condition on the potential and a generic spectral condition on the linearization...

Displaying similar documents to “Sharp summability for Monge Transport density via Interpolation”

Asymmetric heteroclinic double layers