Concentration compactness results for systems in the Heisenberg group

• Autorzy: Pucci Patrizia , Temperini Letizia

Identyfikatory

DOI

10.7494/OpMath.2020.40.1.151

• Języki publikacji: EN

Abstrakty

EN

In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal. 9 (2020), 895-922] on some variants of the concentration-compactness principle in bounded PS domains Ω of the Heisenberg group [formula]. The concentration-compactness principle is a basic tool for treating nonlinear problems with lack of compactness. The results proved here can be exploited when dealing with some kind of elliptic systems involving critical nonlinearities and Hardy terms.

Słowa kluczowe

EN

Heisenberg group concentration-compactness; critical exponents; Hardy terms

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 151--163
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Pucci Patrizia

• Dipartimento di Matematica e Informatica Universita degli Studi di Perugia Via Vanvitelli 1, 06123 Perugia, Italy

autor

Temperini Letizia

• Dipartimento di Matematica e Informatica "Ulisse Dini" Universita degli Studi di Firenze Viale Morgagni 67/a, 50134 Firenze, Italy

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).