Fractional p-Laplacian evolution equations

139 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

On the regularity theory for mixed local and nonlocal quasilinear elliptic equations (2021, methodology): “In the purely nonlocal case b = 0, existence, uniqueness and asymptotic behavior of strong solutions of (1.7) were studied by Mazón-Rossi-Toledo [37] and Vázquez [40].”
A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian (2016, background): “See for instance [10, 5, 6, 12, 21, 23, 24, 31, 19] and the references therein.”
The Dirichlet Problem for the fractional p-Laplacian evolution equation (2015, methodology): “or every two solutions u1,u2 with initial data u01,u02 we have k(u1(t)− u2(t))+k1 ≤ k(u01 − u02)+k1 , ku1(t)− u2(t)kq ≤ ku01 −u02kq (2.6) for every 1 ≤ q ≤ ∞ and t > 0. Compare with Theorem 2.5 of [41]. The theory can be applied to solutions with any sign. In the sequel we will deal with nonnegat”