We deal with a class of nonlocal problems of the type where s ∈ (0; 1), 1 < p < q < N/s, (-Δ) αs , with α ∈ (p, q), is the fractional α-Laplacian, Ω is a bounded domain of ℝ N and λ > 0 is a parameter. Roughly speaking, when r is "large" we prove the existence of a solution for large values of λ and when r is "small" we prove the existence of infinitely many solutions for small values of λ.
On a fractional p & q Laplacian problem with critical growth
Siciliano G.
2019-01-01
Abstract
We deal with a class of nonlocal problems of the type where s ∈ (0; 1), 1 < p < q < N/s, (-Δ) αs , with α ∈ (p, q), is the fractional α-Laplacian, Ω is a bounded domain of ℝ N and λ > 0 is a parameter. Roughly speaking, when r is "large" we prove the existence of a solution for large values of λ and when r is "small" we prove the existence of infinitely many solutions for small values of λ.File in questo prodotto:
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