6533b854fe1ef96bd12ae041
RESEARCH PRODUCT
A multiplicity theorem for parametric superlinear (p,q)-equations
Nikolaos S. PapageorgiouFlorin-iulian OneteCalogero Vetrosubject
Pure mathematicsnonlinear maximum principlelcsh:T57-57.97General MathematicsMathematics::Analysis of PDEssuperlinear reactionMultiplicity (mathematics)extremal solutionsSettore MAT/05 - Analisi Matematicalcsh:Applied mathematics. Quantitative methodsConstant sign and nodal solutionExtremal solutionnonlinear regularityconstant sign and nodal solutionscritical groupsCritical groupMathematicsParametric statisticsdescription
We consider a parametric nonlinear Robin problem driven by the sum of a \(p\)-Laplacian and of a \(q\)-Laplacian (\((p,q)\)-equation). The reaction term is \((p-1)\)-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-02-01 | Opuscula Mathematica |