6533b7d7fe1ef96bd1267b36
RESEARCH PRODUCT
Least Energy Solutions with Sign Information for Parametric Double Phase Problems
Papageorgiou N. S.Vetro C.Vetro F.subject
Mathematics (miscellaneous)Double phase functionalNehari manifoldsNehari-type monotonicitySettore MAT/05 - Analisi MatematicaApplied MathematicsMusielak–Orlicz spacesfibering functiondescription
We consider a parametric double phase Dirichlet problem. In the reaction there is a superlinear perturbation term which satisfies a weak Nehari-type monotonicity condition. Using the Nehari manifold method, we show that for all parameters below a critical value, the problem has at least three nontrivial solutions all with sign information. The critical parameter value is precisely identified in terms of the spectrum of the lower exponent part of the differential operator.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-02-01 | Results in Mathematics |