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Twin Positive Solutions for a Parametric Double Phase Equation with p, q-Growth

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Abstract

We consider a parametric double phase equation with unbalanced growth and a logistic-type reaction. We assume that in the reaction the perturbation term may be sign-changing. We show that for all large values of the parameter \(\lambda >0\), the problem has at least two positive bounded solutions.

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Funding

The work was supported by NNSF of China Grant nos. 12111530282, 12071413 and the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant agreement no. 823731 CONMECH.

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Authors and Affiliations

  1. Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, 537000, People’s Republic of China

    Zhenhai Liu

  2. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, Guangxi Minzu University, Nanning, 530006, Guangxi, People’s Republic of China

    Zhenhai Liu

  3. Department of Mathematics, National Technical University, Zografou Campus, 15780, Athens, Greece

    Nikolaos S. Papageorgiou

Authors
  1. Zhenhai Liu
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  2. Nikolaos S. Papageorgiou
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Contributions

ZL: Discussing-editing original draft. NSP: Discussing-writing original draft. Both authors reviewed the manuscript.

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Correspondence to Zhenhai Liu.

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Liu, Z., Papageorgiou, N.S. Twin Positive Solutions for a Parametric Double Phase Equation with p, q-Growth. Mediterr. J. Math. 20, 176 (2023). https://doi.org/10.1007/s00009-023-02390-6

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  • DOI: https://doi.org/10.1007/s00009-023-02390-6

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