Entire solutions for some critical equations in the Heisenberg group

• Autorzy: Pucci Patrizia , Temperini Letizia

Identyfikatory

DOI

10.7494/OpMath.2022.42.2.279

• Języki publikacji: EN

Abstrakty

EN

We complete the study started in the paper [P. Pucci, L. Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no. 007], giving some applications of its abstract results to get existence of solutions of certain critical equations in the entire Heinseberg group. In particular, different conditions for existence are given for critical horizontal p-Laplacian equations.

Słowa kluczowe

EN

Heisenberg group; entire solutions; critical exponents

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 2
• Strony: 279--303
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Pucci Patrizia

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

• https://orcid.org/0000-0001-7242-8485

autor

Temperini Letizia

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

• https://orcid.org/0000-0003-2605-6873

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).