Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator
We consider a discrete Dirichlet boundary value problem of equations with the (p,q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions. The assumptions on the reaction term ensure that the Euler-Lagrange functional, corresponding to the problem, s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/225/abstr.html |
| _version_ | 1818616326840647680 |
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| author | Antonella Nastasi Calogero Vetro Francesca Vetro |
| author_facet | Antonella Nastasi Calogero Vetro Francesca Vetro |
| author_sort | Antonella Nastasi |
| collection | DOAJ |
| description | We consider a discrete Dirichlet boundary value problem of equations
with the (p,q)-Laplacian operator in the principal part and prove
the existence of at least two positive solutions. The assumptions on
the reaction term ensure that the Euler-Lagrange functional,
corresponding to the problem, satisfies an abstract two critical
points result. |
| first_indexed | 2024-12-16T16:48:02Z |
| format | Article |
| id | doaj.art-cb2f4796a52347a98bb3a4be8fb6445c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T16:48:02Z |
| publishDate | 2017-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-cb2f4796a52347a98bb3a4be8fb6445c2022-12-21T22:24:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-09-012017225,112Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operatorAntonella Nastasi0Calogero Vetro1Francesca Vetro2 Univ. of Palermo, Palermo, Italy Univ. of Palermo, Palermo, Italy Univ. of Palermo, Palermo, Italy We consider a discrete Dirichlet boundary value problem of equations with the (p,q)-Laplacian operator in the principal part and prove the existence of at least two positive solutions. The assumptions on the reaction term ensure that the Euler-Lagrange functional, corresponding to the problem, satisfies an abstract two critical points result.http://ejde.math.txstate.edu/Volumes/2017/225/abstr.htmlDifference equations(p,q)-Laplacian operator(PS)-conditionpositive solutions |
| spellingShingle | Antonella Nastasi Calogero Vetro Francesca Vetro Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator Electronic Journal of Differential Equations Difference equations (p,q)-Laplacian operator (PS)-condition positive solutions |
| title | Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator |
| title_full | Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator |
| title_fullStr | Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator |
| title_full_unstemmed | Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator |
| title_short | Positive solutions of discrete boundary value problems with the (p,q)-Laplacian operator |
| title_sort | positive solutions of discrete boundary value problems with the p q laplacian operator |
| topic | Difference equations (p,q)-Laplacian operator (PS)-condition positive solutions |
| url | http://ejde.math.txstate.edu/Volumes/2017/225/abstr.html |
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