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
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 formulas
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/302290
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