In this paper a new relation between a capacity of second order and an Orlicz capacity of first order is established. As a consequence, we construct a class of semilinear equations of second order, satisfying an assumption given in terms of first order capacities, which has no distributional solutions.
On Orlicz capacities and a nonexistence result for certain elliptic PDEs / Fiorenza, Alberto; Giannetti, Flavia. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 22:6(2015), pp. 1949-1958. [10.1007/s00030-015-0352-z]
On Orlicz capacities and a nonexistence result for certain elliptic PDEs
FIORENZA, ALBERTO;GIANNETTI, FLAVIA
2015
Abstract
In this paper a new relation between a capacity of second order and an Orlicz capacity of first order is established. As a consequence, we construct a class of semilinear equations of second order, satisfying an assumption given in terms of first order capacities, which has no distributional solutions.File in questo prodotto:
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