We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential. We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than those needed for the existence without it.

The regularizing effect of lower order terms in elliptic problems involving Hardy potential / Adimurthi, ; Boccardo, Lucio; Cirmi G., Rita; Orsina, Luigi. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 17:2(2017), pp. 311-317. [10.1515/ans-2017-0001]

The regularizing effect of lower order terms in elliptic problems involving Hardy potential

Boccardo Lucio
;
Orsina Luigi
2017

Abstract

We study existence and summability of solutions for elliptic problems with a power-like lower order term and a Hardy potential. We prove that, due to the presence of the lower order term, solutions exist and are more summable under weaker assumptions than those needed for the existence without it.
2017
hardy potential; lower order terms; regularizing effect
01 Pubblicazione su rivista::01a Articolo in rivista
The regularizing effect of lower order terms in elliptic problems involving Hardy potential / Adimurthi, ; Boccardo, Lucio; Cirmi G., Rita; Orsina, Luigi. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 17:2(2017), pp. 311-317. [10.1515/ans-2017-0001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1048995
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