Not convex densities and everywhere Hölder continuity [PDF]
arXiv, 2022 In this paper we study the everywhere H\"older continuity of the minima of a class of vectorial integral ...
arxiv
Ground state solutions to the nonlinear Schrodinger-Maxwell equations [PDF]
, 2007 We prove the existence of ground state solutions for the nonlinear Schrodinger-Maxwell equations.
arxiv +1 more source
Global minimizers of coexistence for competing species [PDF]
, 2010 A class of variational models describing ecological systems of k species competing for the same resources is investigated. The occurrence of coexistence in minimal energy solutions is discussed and positive results are proven for suitably differentiated internal dynamics.
arxiv +1 more source
Small weights in Caccioppoli's inequality and applications to Liouville-type theorems for non-standard problems [PDF]
arXiv, 2021 Using a variant of Caccioppoli's inequality involving small weights, i.e. weights of the form $(1+|\nabla u|^2)^{-\alpha/2}$ for some $\alpha > 0$, we establish several Liouville-type theorems under general non-standard growth conditions.
arxiv
On the local everywhere Hölder continuity of the minima of a class of vectorial integral functionals of the calculus of variations [PDF]
arXiv, 2022 In this paper we study the everywhere H\"oder continuity of the minima of a class of vectorial integral ...
arxiv
On the local everywhere bounndedness of the minima of a class of integral functionals of the Calculus of the Variations [PDF]
arXiv, 2023 In this paper we study the regularity and the boundedness of the minima of two classes of functionals of the calculus of ...
arxiv
A note on the integral representation of functionals in the space SBD(O) [PDF]
arXiv, 2001 In this paper we study the integral representation in the space SBD(O) of special functions with bounded deformation of some L^1-norm lower semicontinuous functionals invariant with respect to rigid motions.
arxiv
Ground state solutions for the nonlinear Schrodinger-Maxwell equations with a singular potential [PDF]
arXiv, 2007 We prove the existence of ground state solutions for the nonlinear Schrodinger-Maxwell equations with a singular potential.
arxiv
Interior estimates in Campanato spaces related to quadratic functionals [PDF]
arXiv, 2020 In this paper we obtain interior estimates in Campanato spaces for the derivatives of the minimizers of quadratic functionals.
arxiv
Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds [PDF]
arXiv, 2008 We prove local existence of solutions to the extended constant scalar curvature equations introduced by A. Butscher, in the asymptotically hyperbolic setting. This gives a new local construction of asymptotically hyperbolic metrics with constant scalar curvature.
arxiv