Triple solutions for a Dirichlet boundary value problem involving a perturbed discretep(k)-Laplacian operator

• Autorzy: Mohsen Khaleghi Moghadam , Johnny Henderson
• Języki publikacji: EN

Abstrakty

EN

Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions. The methods for existence rely on a Ricceri-local minimum theorem for differentiable functionals. Several examples are included to illustrate the main results.

Słowa kluczowe

EN

Discrete boundary value problem; p(k)-Laplacian; Three solutions; Variational methods; Critical point theory

Kategorie tematyczne

• 65Q10: Difference equations
• 39A10: Difference equations, additive
• 34B15: Nonlinear boundary value problems
• 39A70: Difference operators
• 39A12: Discrete version of topics in analysis

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1075-1089

Daty

wydano

2017-01-01

otrzymano

2016-12-10

zaakceptowano

2017-05-29

online

2017-08-19

Twórcy

autor

Mohsen Khaleghi Moghadam

• , , ,

autor

Johnny Henderson

• , , , ,

Identyfikatory

DOI

10.1515/math-2017-0090