Our propose here is to provide a Hopf lemma and a strong minimum principle for weak supersolutions of (−Δp)su=c(x)|u|p−2u in Ω where Ω is an open set of RN, s∈(0,1), p∈(1,+∞), c∈C(Ω‾) and (−Δp)s is the fractional p-Laplacian.

This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions ...

Our propose here is to provide a Hopf lemma and a strong minimum principle for weak supersolutions of , (-Delta(p))(s) u = c(x)vertical bar u vertical bar(p-2)u in Omega ,where SI is an open set of R-N, s is an element of ...

We show that a Jordan-Hölder theorem holds for appropriately defined composition series of finite dimensional Hopf algebras. This answers an open question of N. Andruskiewitsch. In the course of our proof we establish ...

We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation, where the time-fractional derivative of order α. ∈. (0, 1) is taken in the Caputo sense. A generalization of the Hopf lemma ...

KeyWords Plus:ANTIMAXIMUM PRINCIPLE; VARIATIONAL EIGENVALUES; 1ST EIGENVALUE; HOPFS LEMMA; BIFURCATION; EXISTENCE; SPECTRUM

A recent generalization of the group-theoretic notion of symmetry replaces global symmetries by bijections between certain subsets of the digraph of a network, the “input sets”. A symmetry group becomes a groupoid and this ...