Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.

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Bibliographische Detailangaben
Veröffentlicht in:Advanced nonlinear studies 2020-05, Vol.20 (2), p.503-510
Hauptverfasser: Boccardo, Lucio, Orsina, Luigi
Format: Artikel
Sprache:eng
Schlagworte:
35B38
35B50
35J15
Dirichlet Problems
Maximum Principle
Quadratic Equations
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Beschreibung
Zusammenfassung:In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2020-2088