Abstract
We investigate the existence and concentration of normalized solutions for a p-Laplacian problem with logarithmic nonlinearity of type {−εpΔpu+V(x)|u|p−2u=λ|u|p−2u+|u|p−2ulog|u|pinRN,∫RN|u|pdx=apεN, where a,ε>0, λ∈R is known as the Lagrange multiplier, Δp⋅=div(|∇⋅|p−2∇⋅) denotes the usual p-Laplacian operator with 2≤p
| Original language | English |
|---|---|
| Pages (from-to) | 1-49 |
| Number of pages | 49 |
| Journal | Journal of Differential Equations |
| Volume | 421 |
| Issue number | N/A |
| DOIs | |
| Publication status | Published - 2025 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
Keywords
- Logarithmic p-Laplacian equation
- Minimization technique
- Multiplicity
- Normalized solutions
- Singularly perturbed
- Variational method
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