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. - (2023), pp. -39. [10.1142/S0219530523500288]

Concentrating solutions for a fractional p -Laplacian logarithmic Schrödinger equation

Ambrosio V.
2023-01-01

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.
2023
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/325946
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