YorkSpace
YorkSpace is York University's Institutional Repository. It supports York University's Senate Policy on Open Access by providing York community members with a place to preserve their research online in an institutional context.
Communities in YorkSpace
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- Previously Faculty of Environmental Studies (FES)
- The Global Labour Research Centre (GLRC) engages in the study of work, employment and labour in the context of a constantly changing global economy.
- Lives Outside the Lines: a Symposium in Honour of Marlene Kadar
- Used only for SWORD Deposit by Adminstrator
- Welcome to WILAA, a gathering place for materials related to research projects that explore work-integrated learning and disability-related accessibility and accommodations.
Recent Submissions
Regularity of the Free Boundary in $div(a(x) \nabla u(x,y) )= -(h(x)\gamma(u))_x$ with $h^\prime (x)<0$
(2021-12-15) Challal, Samia
A free boundary problem of type div(a(x)∇u) = −(h(x)γ(u))x with hx < 0 is considered. A regularity of the free boundary as a curve y = Φ(x) is established using a local monotony bux − uy < 0 close to free boundary points.
Continuity of the free boundary in a non-degenerate p-obstacle problem type with monotone solution
(Taylor & Francis, 2012-05-22) Challal, S.
We prove the continuity of the free boundary for a non-degenerate p-obstacle problem with monotone solution. The proof uses techniques of comparison and the growth of the solution near free boundary points.
Second Order Regularity for the A-Laplace Operator
(Springer Nature, 2010-04-22) Challal, Samia; Lyaghfouri, Abdeslem
In this paper we establish second order regularity for the quasilinear elliptic equation ΔAu = f, where ΔA is the so called A-Laplace operator.
Porosity of free boundaries in A-obstacle problems
(Elsevier, 2009-04-08) Challal, S; Lyaghfouri, A
We establish the exact growth of the solution of the A-obstacle problem near the free boundary from which we deduce its porosity.
Second order regularity for the p(x)‐Laplace operator
(Wiley, 2011-05-13) Challal, S; Lyaghfouri, A
In this paper, we establish second order regularity for the p(x)-Laplace operator. This generalizes classical results known when the function p(x) is equal to some constant p > 1.