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Nonexistence of Positive Solutions for Quasilinear Equations with Decaying Potentials

Department of Mathematics, Chungbuk National University, Chungdae-ro 1, Seowon-gu, Cheongju, Chungbuk 362-763, Korea
Mathematics 2020, 8(3), 425; https://doi.org/10.3390/math8030425
Received: 7 February 2020 / Revised: 6 March 2020 / Accepted: 12 March 2020 / Published: 16 March 2020
(This article belongs to the Section Difference and Differential Equations)
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. View Full-Text
Keywords: decaying potential; quasilinear equation; nonexistence decaying potential; quasilinear equation; nonexistence
MDPI and ACS Style

Kwon, O. Nonexistence of Positive Solutions for Quasilinear Equations with Decaying Potentials. Mathematics 2020, 8, 425.

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