Multiple Solutions of a p-th Yamabe Equation on Graph
Let G=V,E be a connected finite graph and Δp be the p-Laplacian on G with p>1. We consider a perturbed p-th Yamabe equation −Δpu−λup−2u=huα−2u+εf, where h,f:V⟶ℝ are functions with h,f>0; 1<p<α;λ and ε are two positive constants. Using the variational method, we prove that there exists so...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/5573605 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | Let G=V,E be a connected finite graph and Δp be the p-Laplacian on G with p>1. We consider a perturbed p-th Yamabe equation −Δpu−λup−2u=huα−2u+εf, where h,f:V⟶ℝ are functions with h,f>0; 1<p<α;λ and ε are two positive constants. Using the variational method, we prove that there exists some positive constant ϵ1 such that for all ϵ∈0,ϵ1, the above equation has two distinct solutions. |
|---|---|
| ISSN: | 2314-8888 |