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
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/612311
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