We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction presented] where ϵ > 0, s ∈ (0, 1), p ∈ [2,∞), N > sp, (-Δ)ps is the fractional p-Laplacian operator, V: ℝN → ℝ is a continuous potential satisfying a local condition. By applying suitable variational arguments, we analyze the existence and concentration of solutions as ϵ → 0 for the above problem.
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation / Alves, C. O.; Ambrosio, V.. - In: ANALYSIS AND APPLICATIONS. - ISSN 0219-5305. - 22:2(2024), pp. 311-349. [10.1142/S0219530523500288]
Concentrating solutions for a fractional p-Laplacian logarithmic Schrödinger equation
Ambrosio V.
2024-01-01
Abstract
We consider the following fractional p-Laplacian logarithmic Schrödinger equation: [equaction presented] where ϵ > 0, s ∈ (0, 1), p ∈ [2,∞), N > sp, (-Δ)ps is the fractional p-Laplacian operator, V: ℝN → ℝ is a continuous potential satisfying a local condition. By applying suitable variational arguments, we analyze the existence and concentration of solutions as ϵ → 0 for the above problem.File in questo prodotto:
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