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 l...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations : special edition
3 No. 58 |
| Kulcsszavak: | Differenciálegyenlet - nemlineáris |
| Online Access: | http://acta.bibl.u-szeged.hu/55728 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 1-11 |
| ISSN: | 1417-3875 |