Until recently, only few existence results were known about existence of solutions to supercritical problems . An approach which has been successfully applied to study this problem, consists in reducing it to a more general critical or subcritical problem, either by considering rotational symmetries, or by means of maps which preserve the Laplace operator, or by a combination of both. The aim of this paper is to illustrate this approach by presenting a selection of recent results where it is used to establish existence and multiplicity or to study the concentration behavior of solutions at supercritical exponents.

Symmetries, Hopf fibrations and supercritical elliptic problems / Clapp, Mónica; Pistoia, Angela. - STAMPA. - (2016), pp. 1-12. [10.1090/conm/656/13100].

Symmetries, Hopf fibrations and supercritical elliptic problems

PISTOIA, Angela
2016

Abstract

Until recently, only few existence results were known about existence of solutions to supercritical problems . An approach which has been successfully applied to study this problem, consists in reducing it to a more general critical or subcritical problem, either by considering rotational symmetries, or by means of maps which preserve the Laplace operator, or by a combination of both. The aim of this paper is to illustrate this approach by presenting a selection of recent results where it is used to establish existence and multiplicity or to study the concentration behavior of solutions at supercritical exponents.
2016
Contemporary Mathematics
supercritical problem, hopf fibration, blow-up solutions
02 Pubblicazione su volume::02a Capitolo o Articolo
Symmetries, Hopf fibrations and supercritical elliptic problems / Clapp, Mónica; Pistoia, Angela. - STAMPA. - (2016), pp. 1-12. [10.1090/conm/656/13100].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/865651
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