We introduce a new notions of strongly local nonlinear Dirichlet form. we prove thet the energy of the form satisfies suitable chain rules and leibnitz rules and allow to define a notion of capacity associated with the form.Our frameworkcontains the case of subelliptic p-Laplacian, p>1, associated to vector fields which satisfy a hormander condition as well as the p-laplacian on fractals.
STRONGLY LOCAL NONLINEAR DIRICHLET FUNCTIONALS AND FORMS / Biroli, M.; Vernole, Paola. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 15 n°2:(2005), pp. 655-682.
STRONGLY LOCAL NONLINEAR DIRICHLET FUNCTIONALS AND FORMS
VERNOLE, Paola
2005
Abstract
We introduce a new notions of strongly local nonlinear Dirichlet form. we prove thet the energy of the form satisfies suitable chain rules and leibnitz rules and allow to define a notion of capacity associated with the form.Our frameworkcontains the case of subelliptic p-Laplacian, p>1, associated to vector fields which satisfy a hormander condition as well as the p-laplacian on fractals.File allegati a questo prodotto
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