We discuss two applications of the notion of Orlicz capacity. The first one is related to a nonexistence result for solutions for some nonlinear elliptic equations having measure data, the second one to a capacitary estimate useful for proving an extension, due to J. Mal\'y, D. Swanson and W. P. Ziemer [Trans. Amer. Math. Soc. 355 (2003), no. 2, 477--492 (electronic); MR1932709 (2004a:46037)], of the area and co-area formulas
Orlicz capacities and applications to PDEs and Sobolev mappings / Fiorenza, Alberto. - STAMPA. - Progress in Nonlinear Differential Equations and their Applications, 63:(2005), pp. 259-266.
Orlicz capacities and applications to PDEs and Sobolev mappings
FIORENZA, ALBERTO
2005
Abstract
We discuss two applications of the notion of Orlicz capacity. The first one is related to a nonexistence result for solutions for some nonlinear elliptic equations having measure data, the second one to a capacitary estimate useful for proving an extension, due to J. Mal\'y, D. Swanson and W. P. Ziemer [Trans. Amer. Math. Soc. 355 (2003), no. 2, 477--492 (electronic); MR1932709 (2004a:46037)], of the area and co-area formulasFile in questo prodotto:
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