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;Fiorenza Alberto;
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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