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Bounded state solution of degenerate Kirchhoff type problem with a critical exponent.
- Source :
-
Journal of Mathematical Analysis & Applications . Nov2019, Vol. 479 Issue 1, p1-24. 24p. - Publication Year :
- 2019
-
Abstract
- In the present paper, we investigate the following degenerate Kirchhoff type problem { − (b ∫ R N | ∇ u | 2 d x) Δ u + V (x) u = | u | 2 ⁎ − 2 u in R N , u ∈ D 1 , 2 (R N) , where b is a positive constant, V ∈ L N 2 (R N) is a given nonnegative function and 2 ⁎ is the critical exponent. Quite a few papers have been published about the degenerate Kirchhoff type problem with a critical exponent; moreover, this degenerate problem in R N (N ≥ 5) has never been considered so far. We obtain some sufficient conditions on the existence of bounded state solution for this degenerate problem. As to the cases where N ≥ 5 , it is the first time to consider the degenerate problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 479
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 137777844
- Full Text :
- https://doi.org/10.1016/j.jmaa.2019.06.013