6533b860fe1ef96bd12c3c14
RESEARCH PRODUCT
On Noncoercive (p, q)-Equations
Calogero VetroFrancesca VetroNikolaos S. Papageorgiousubject
Dirichlet problemTruncationGeneral MathematicsMathematical analysisGeneral Physics and AstronomyDifferential operator(pq)-LaplacianNonlinear systemextremal solutionsprincipal eigenvalueSettore MAT/05 - Analisi Matematicanonlinear regularityconstant sign and nodal solutionsSign (mathematics)Mathematicsdescription
We consider a nonlinear Dirichlet problem driven by a (p, q)-Laplace differential operator (1 < q < p). The reaction is (p - 1)-linear near +/-infinity and the problem is noncoercive. Using variational tools and truncation and comparison techniques together with critical groups, we produce five nontrivial smooth solutions all with sign information and ordered. In the particular case when q = 2, we produce a second nodal solution for a total of six nontrivial smooth solutions all with sign information.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-06-29 |