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Nonexistence of Positive Solutions for Quasilinear Equations with Decaying Potentials

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  • Ohsang Kwon

    (Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk 362-763, Korea)

Abstract

In this paper, we consider a quasilinear Schrödinger equation, which arises from the study of the superfluid film equation in plasma physics. Our main goal is to find the growth condition for nonlinear term and decaying condition for the potential, which guarantee the nonexistence of positive solutions.

Suggested Citation

  • Ohsang Kwon, 2020. "Nonexistence of Positive Solutions for Quasilinear Equations with Decaying Potentials," Mathematics, MDPI, vol. 8(3), pages 1-7, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:425-:d:332929
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    References listed on IDEAS

    as
    1. Uberlandio B. Severo & Gilson M. de Carvalho, 2018. "Quasilinear Schrödinger equations with unbounded or decaying potentials," Mathematische Nachrichten, Wiley Blackwell, vol. 291(2-3), pages 492-517, February.
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