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On the Existence of Solutions for a Class of Schrödinger–Kirchhoff-Type Equations with Sign-Changing Potential.
- Source :
-
Discrete Dynamics in Nature & Society . 6/21/2022, p1-6. 6p. - Publication Year :
- 2022
-
Abstract
- In this paper, we consider the following Kirchhoff problem − a + b ∫ R 3 ∇ u 2 d x Δ u + λ V x u = u p − 2 u , in R 3 u ∈ H 1 R 3 where a , b > 0 are constants, λ is a positive parameter, and 4 < p < 6. Under suitable assumptions on V x , the existence of nontrivial solution is obtained via variational methods. The potential V x is allowed to be sign-changing. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10260226
- Database :
- Academic Search Index
- Journal :
- Discrete Dynamics in Nature & Society
- Publication Type :
- Academic Journal
- Accession number :
- 157685614
- Full Text :
- https://doi.org/10.1155/2022/1735888