... Titre du document / Document title. NONTRIVIAL SOLUTIONS OF QUASILINEAR EQUATIONS VIA NONSMOO... more ... Titre du document / Document title. NONTRIVIAL SOLUTIONS OF QUASILINEAR EQUATIONS VIA NONSMOOTH MORSE THEORY. Auteur(s) / Author(s). CORVELLEC J.-N. ; DEGIOVANNI M. ; Revue / Journal Title. Journal of ...
. Cauchy fluxes induced by locally summable tensor fields with divergence measure are characteriz... more . Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.
Calculus of Variations and Partial Differential Equations, 2003
We extend a celebrated identity by P. Pucci and J. Serrin, concerning C 2 solutions of Euler equa... more We extend a celebrated identity by P. Pucci and J. Serrin, concerning C 2 solutions of Euler equations of functionals of the calculus of variations, to the case of C 1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.
A class of extended real valued functionals, already considered for evolution problems, is studie... more A class of extended real valued functionals, already considered for evolution problems, is studied. The set where the functional is finite is proved to be an absolute neighborhood extensor. Applications to critical point theory, involving Ljusternik-Schnirelman category and cohomological index, are shown. The stability under Γ-convergence of the homotopical type of the sublevels of the functional is also treated.
... Titre du document / Document title. NONTRIVIAL SOLUTIONS OF QUASILINEAR EQUATIONS VIA NONSMOO... more ... Titre du document / Document title. NONTRIVIAL SOLUTIONS OF QUASILINEAR EQUATIONS VIA NONSMOOTH MORSE THEORY. Auteur(s) / Author(s). CORVELLEC J.-N. ; DEGIOVANNI M. ; Revue / Journal Title. Journal of ...
. Cauchy fluxes induced by locally summable tensor fields with divergence measure are characteriz... more . Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.
Calculus of Variations and Partial Differential Equations, 2003
We extend a celebrated identity by P. Pucci and J. Serrin, concerning C 2 solutions of Euler equa... more We extend a celebrated identity by P. Pucci and J. Serrin, concerning C 2 solutions of Euler equations of functionals of the calculus of variations, to the case of C 1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.
A class of extended real valued functionals, already considered for evolution problems, is studie... more A class of extended real valued functionals, already considered for evolution problems, is studied. The set where the functional is finite is proved to be an absolute neighborhood extensor. Applications to critical point theory, involving Ljusternik-Schnirelman category and cohomological index, are shown. The stability under Γ-convergence of the homotopical type of the sublevels of the functional is also treated.
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