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math.AP2016
Eigenvalues for systems of fractional Laplacians
Leandro M. Del Pezzo, Julio D. Rossi
We study the eigenvalue problem for a system of fractional Laplacians, that is, $$ \begin{cases} (-Δ_p)^r u = λ\dfracαp|u|^{α-2}u|v|^β &\text{in } Ω,\vspace{.1cm} (-Δ_p)^s u =…
math.AP2016★ 3 cited
Fractional eigenvalue problems that approximate Steklov eigenvalues
Leandro M. Del Pezzo, Julio D. Rossi, Ariel M. Salort
In this paper we analyze possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a nonlocal eigenvalue problem of fraction…