Variational differential inclusions without ellipticity condition
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted (p, q)-Laplacian −∆pu + µ∆qu with µ ∈ R. Local and nonlocal boundary value problems fitting into this non...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2020
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2020.1.43 |
| Online Access: | http://acta.bibl.u-szeged.hu/70156 |
| Tartalmi kivonat: | The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted (p, q)-Laplacian −∆pu + µ∆qu with µ ∈ R. Local and nonlocal boundary value problems fitting into this nonstandard setting are examined. Keywords: variational problem, hemivariational inequality, lack of ellipticity, competing (p, q)-Laplacian, local and nonlocal operators. |
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| ISSN: | 1417-3875 |