The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p−Laplacian Equation
Copyright policy )The Existence and Multiplicity of Homoclinic Solutions for a Fractional Discrete p−Laplacian Equation
In this study, we investigate the existence and multiplicity of solutions for a fractional discrete p−Laplacian equation on Z. Under suitable hypotheses on the potential function V and the nonlinearity f, with the aid of Ekeland’s variational principle, via mountain pass lemma, we obtain that this equation exists at least two nonnegative and nontrivial homoclinic solutions when the real parameter λ>0 is large enough.
- UNIVERSITE LAGHOUAT Algeria
- University of Laghouat Algeria
- Jazan University Saudi Arabia
- Guilin Tourism University China (People's Republic of)
- Huaiyin Institute of Technology China (People's Republic of)
fractional discrete <i>p</i>−Laplace equation, Ekeland’s variational principle, homoclinic solutions, QA1-939, mountain pass lemma, Mathematics, multiplicity of solutions
fractional discrete <i>p</i>−Laplace equation, Ekeland’s variational principle, homoclinic solutions, QA1-939, mountain pass lemma, Mathematics, multiplicity of solutions
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