We prove Harnack inequality and global regularity results for weak solutions of quasilinear degenerate equations driven by operators of Grushin type with natural growth. Degeneracy is a power of a strong A∞ weight. Regularity results are achieved under minimal assumptions on the lower order coefficients.

BOUNDARY REGULARITY FOR STRONGLY DEGENERATE OPERATORS OF GRUSHIN TYPE

Fanciullo M. S.;Zamboni P.
2022-01-01

Abstract

We prove Harnack inequality and global regularity results for weak solutions of quasilinear degenerate equations driven by operators of Grushin type with natural growth. Degeneracy is a power of a strong A∞ weight. Regularity results are achieved under minimal assumptions on the lower order coefficients.
2022
Grushin operator
Harnack inequality
strong A

weights
stummel-Kato classes
File in questo prodotto:
File Dimensione Formato  
2022EJDE.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 349.99 kB
Formato Adobe PDF
349.99 kB Adobe PDF Visualizza/Apri

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/20.500.11769/542085
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact