**4. Conlusions**

In this paper, we obtained the existence of infinitely many homoclinic solutions of Equation (1) under conditions (*A*),(*<sup>F</sup>*1) − (*<sup>F</sup>*4),(*V*) in the case 1 < *q* < 2 ≤ *p*. The equation is an extension of the stationary Fisher-Kolmogorov equation which appears in the phase transition models. The variational approach is applied based on the multiple critical point theorem due to Liu and Wang. It will be interesting to extend the result to the case 1 < *q* < *p* < 2.

**Author Contributions:** Conceptualization, S.T.; methodology, S.T.; software, S.T.; validation, S.T.; formal Analysis, S.T.; writing—original draft preparation, S.T.; writing—review and editing, S.T.; visualization, S.T.; supervision, S.T.; funding acquisition, S.T. The author has read and agreed to the published version of the manuscript.

**Funding:** S.T. is partially supported by the Bulgarian National Science Fund under Project KP-06-N32/7 and bilateral agreemen<sup>t</sup> between BAS and Serbian Academy of Sciences and Arts (SASA), 2020-2022.

**Acknowledgments:** The author is thankful to the reviewer's remarks.

**Conflicts of Interest:** The author declares no conflict of interest.
