Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data

Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data

This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed data where is sufficiently flat in the sense of Reifenberg.

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Bibliographische Detailangaben
Veröffentlicht in:Advanced nonlinear studies 2021-11, Vol.21 (4), p.789-808
Hauptverfasser: Do, Tan Duc, Truong, Le Xuan, Trong, Nguyen Ngoc
Format: Artikel
Sprache:eng
Schlagworte:
35J60
35J61
35J62
35J75
42B37
Mixed Data
Pointwise Gradient Estimate
Quasilinear Elliptic Equation
Reifenberg Domain
up to Boundary
Very Singular
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Beschreibung
Zusammenfassung:This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed data where is sufficiently flat in the sense of Reifenberg.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2021-2139