Back to Search
Start Over
Existence of solutions for a class of quasilinear Schrödinger equation with a Kirchhoff-type.
- Source :
- Complex Variables & Elliptic Equations; Sep2022, Vol. 67 Issue 9, p2087-2101, 15p
- Publication Year :
- 2022
-
Abstract
- In this paper, we discuss the existence of multiple solutions of the generalized quasilinear Schrödinger equation of Kirchhoff-type ... where b>0 is a parameter, g C¹(R,R<superscript>+</superscript>). In preceding approaches, the order of the nonlinear term f (x, t) about t at infinity is usually supposed to be higher than |t|³. But in this paper, this condition is not necessary. Under weaker condition <superscript>t</superscript><subscript>0</subscript> f (x, s) ds = µ|G(t)|r - |G(t)|<superscript>r-1</superscript>, where G(t) is the primitive function of g(t), 2 < r < 6, we get the existence of infinitely many solutions of the equation. Our work can be regarded as the extension of those such as [J. Zhang et al. Existence of multiple solutions of Kirchhoff type equation with sign-changing potential. Appl Math Comput. 2014;242:491-499] and related works. [ABSTRACT FROM AUTHOR]
- Subjects :
- SCHRODINGER equation
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 17476933
- Volume :
- 67
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Complex Variables & Elliptic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 158922368
- Full Text :
- https://doi.org/10.1080/17476933.2021.1916918