Nodal solution for critical Kirchhoff-type equation with fast increasing weight in R 2 $\mathbb{R}^{2}$
Abstract In this paper, we investigate the existence of a least-energy sign-changing solutions for the following Kirchhoff-type equation: − ( 1 + b ∫ R 2 K ( x ) | ∇ u | 2 d x ) div ( K ( x ) ∇ u ) = K ( x ) f ( u ) , x ∈ R 2 , $$ - \biggl(1+b \int _{\mathbb{R}^{2}} K(x) \vert \nabla u \vert ^{2}\,d...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02945-x |