The maximum principle with lack of monotonicity
We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting. The feature of our main result is that it does not require any monotonicity assumption on the nonlinearity. The proof combines a...
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University of Szeged
2018-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6644 |
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doaj-58e26e5804f7421581c8969c6fddac5c2021-07-14T07:21:31ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752018-06-0120185811110.14232/ejqtde.2018.1.586644The maximum principle with lack of monotonicityPatrizia Pucci0Vicenţiu Rădulescu1University of Perugia, Perugia, ItalyInstitute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, RomaniaWe establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting. The feature of our main result is that it does not require any monotonicity assumption on the nonlinearity. The proof combines a local analysis with techniques on nonlinear differential equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6644generalized maximum principle$(pq)$-operatornonlinear differential inequalitynormal derivativepositive solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Patrizia Pucci Vicenţiu Rădulescu |
| spellingShingle |
Patrizia Pucci Vicenţiu Rădulescu The maximum principle with lack of monotonicity Electronic Journal of Qualitative Theory of Differential Equations generalized maximum principle $(p q)$-operator nonlinear differential inequality normal derivative positive solution |
| author_facet |
Patrizia Pucci Vicenţiu Rădulescu |
| author_sort |
Patrizia Pucci |
| title |
The maximum principle with lack of monotonicity |
| title_short |
The maximum principle with lack of monotonicity |
| title_full |
The maximum principle with lack of monotonicity |
| title_fullStr |
The maximum principle with lack of monotonicity |
| title_full_unstemmed |
The maximum principle with lack of monotonicity |
| title_sort |
maximum principle with lack of monotonicity |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2018-06-01 |
| description |
We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting. The feature of our main result is that it does not require any monotonicity assumption on the nonlinearity. The proof combines a local analysis with techniques on nonlinear differential equations. |
| topic |
generalized maximum principle $(p q)$-operator nonlinear differential inequality normal derivative positive solution |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6644 |
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AT patriziapucci themaximumprinciplewithlackofmonotonicity AT vicentiuradulescu themaximumprinciplewithlackofmonotonicity AT patriziapucci maximumprinciplewithlackofmonotonicity AT vicentiuradulescu maximumprinciplewithlackofmonotonicity |
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1721303466371973120 |