Haar inequality in hereditary setting and applications
We consider the following classical autonomous variational problem
where the Lagrangian
We prove the equiabsolute integrability of a class of gradients, for functions in . The present result appears as the localized version of well-known classical theorems.
We consider general second order boundary value problems on the whole line of the type , , for which we provide existence, non-existence, multiplicity results. The solutions we find can be reviewed as heteroclinic orbits in the plane dynamical system.
We consider the following classical autonomous variational problem
where the Lagrangian
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