In this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as p → ∞ {p oinfty}. For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide sufficient conditions to assure the uniform convergence of the whole family of the solutions of obstacle problems either for data f that change sign in ω or for data f (that do not change sign in ω) possibly vanishing in a set of positive measure.

Limit of p-Laplacian obstacle problems / Capitanelli, R.; Vivaldi, M. A.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 15:2(2022), pp. 265-286. [10.1515/acv-2019-0058]

Limit of p-Laplacian obstacle problems

Capitanelli R.
;
Vivaldi M. A.
2022

Abstract

In this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as p → ∞ {p oinfty}. For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide sufficient conditions to assure the uniform convergence of the whole family of the solutions of obstacle problems either for data f that change sign in ω or for data f (that do not change sign in ω) possibly vanishing in a set of positive measure.
2022
asymptotic behavior; obstacle problems
01 Pubblicazione su rivista::01a Articolo in rivista
Limit of p-Laplacian obstacle problems / Capitanelli, R.; Vivaldi, M. A.. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 15:2(2022), pp. 265-286. [10.1515/acv-2019-0058]
File allegati a questo prodotto
File Dimensione Formato  
Capitanelli_limitofP-lapacian_2020.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 1.03 MB
Formato Adobe PDF
1.03 MB Adobe PDF   Contatta l'autore
Capitanelli_preprint_limitofP-lapacian_2020.pdf

solo gestori archivio

Tipologia: Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 542.01 kB
Formato Adobe PDF
542.01 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1399382
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact