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Multiple positive and sign-changing solutions for a class of Kirchhoff equations.
- Source :
- Communications in Contemporary Mathematics; Mar2024, Vol. 26 Issue 2, p1-26, 26p
- Publication Year :
- 2024
-
Abstract
- This paper is concerned with the existence of multiple non-radial positive and sign-changing solutions for the following Kirchhoff equation: − a + b ∫ ℝ 3 | ∇ u | 2 Δ u + (1 + λ Q (x)) u = | u | p − 2 u , in ℝ 3 , (0. 1) where a , b > 0 are constants, p ∈ (2 , 6) , λ is a parameter, and Q (x) is a potential function. Under the assumption on Q (x) with exponential decay at infinity, we construct multi-peak positive and sign-changing solutions for problem (0.1) as λ → ∞ (or 0), where the peaks concentrate at infinity. [ABSTRACT FROM AUTHOR]
- Subjects :
- EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 26
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 175283906
- Full Text :
- https://doi.org/10.1142/S0219199722500602