Article Dans Une Revue Axioms Année : 2024

On a Neumann Problem with an Intrinsic Operator

Angela Sciammetta

Résumé

This paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which is its main novelty. This paper can be seen as the study of a quasilinear Neumann problem involving an elaborated perturbation with a Nemytskij operator. The approach proceeds through a version of the sub/supersolution method, exploiting an invariance property regarding the sub/supersolution ordered interval with respect to the intrinsic operator. An example illustrates the applicability of our result.

Dates et versions

hal-04791928 , version 1 (19-11-2024)

Identifiants

Citer

Dumitru Motreanu, Angela Sciammetta. On a Neumann Problem with an Intrinsic Operator. Axioms, 2024, 13 (8), 497, ⟨10.3390/axioms13080497⟩. ⟨hal-04791928⟩

Collections

28 Consultations
0 Téléchargements

Altmetric

Partager

  • More