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p-Laplacian Type Equations Via Mountain Pass Theorem in Cerami Sense

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Abstract

The main result of this paper is to investigate the existence of a solution of a class of fractional problems involving the operator p-Laplacian with periodic potential and supercritical growth via the Mountain Pass theorem-Cerami version.

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Acknowledgements

All authors contributions to this manuscript are the same. All authors read and approved the final manuscript. We are very grateful to the anonymous reviewers for their useful comments that led to improvement of the manuscript.

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Authors and Affiliations

  1. Aerospace Engineering, PPGEA-UEMA, Department of Mathematics, DEMATI-UEMA, São Luís, MA, 65054, Brazil

    J. Vanterler da C. Sousa

  2. Department of Mathematics, Faculty of Sciences, Razi University, 67149, Kermanshah, Iran

    Nemat Nyamoradi

  3. Department of Mathematics, Federal University of Ceara, Campus Russas, Brazil Ceará, Brazil

    Gastão F. Frederico

Authors
  1. J. Vanterler da C. Sousa
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  2. Nemat Nyamoradi
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  3. Gastão F. Frederico
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Contributions

Formal analysis, J. Vanterler da C. Sousa, Nemat Nyamoradi and Gastão Frederico Investigation, J. Vanterler da C. Sousa and Nemat Nyamoradi Methodology, Nemat Nyamoradi and Gastão Frederico Supervision, Nemat Nyamoradi and Gastão Frederico Validation, Nemat Nyamoradi and Gastão Frederico Writing—original draft, J. Vanterler da C. Sousa Writing—review and editing, J. Vanterler da C. Sousa and Gastão Frederico All authors have read and agreed to the published version of the manuscript.

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Correspondence to J. Vanterler da C. Sousa.

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Sousa, J.V.d.C., Nyamoradi, N. & Frederico, G.F. p-Laplacian Type Equations Via Mountain Pass Theorem in Cerami Sense. Qual. Theory Dyn. Syst. 23, 76 (2024). https://doi.org/10.1007/s12346-023-00933-6

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