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Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
- Source :
- Nonautonomous Dynamical Systems, Vol 7, Iss 1, Pp 22-31 (2020)
- Publication Year :
- 2020
- Publisher :
- De Gruyter, 2020.
-
Abstract
- We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method. We also extend the problem by using generalized penality and source functions.
- Subjects :
- Statistics and Probability
Numerical Analysis
Variable exponent
35b20
Applied Mathematics
Mathematical analysis
34l30
35b38
Nonlinear system
34l05
39a70
discrete p(.)−laplacian system
35p30
critical point theory
weak homoclinic solutions
47a75
QA1-939
Homoclinic orbit
Anisotropy
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 23530626
- Volume :
- 7
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Nonautonomous Dynamical Systems
- Accession number :
- edsair.doi.dedup.....548662eb06446e0ade34e11f081f1538