186,167 research outputs found
Harnack inequalities for p-Laplacians associated to homogeneous p-Lagrangians
No full textIn this paper, we consider homogeneous p-Lagrangians and the associated nonlinear energy forms. By using the approach of the metric fractals, we prove the Harnack inequality for metric fractals whose homogeneous dimension is less than p
Limit of p-Laplacian Obstacle problems
No full textIn this paper we study asymptotic behavior of solutions of obstacle problems
for Laplacians as For the one-dimensional case and for the
radial case, we give an explicit expression of the limit. In the n-dimensional
case, we provide sufficient conditions to assure the uniform convergence of
whole family of the solutions of obstacle problems either for data that
change sign in or for data (that do not change sign in )
possibly vanishing in a set of positive measure
Nonlinear energy forms and Lipschitz spaces on the infinite Koch curve
No full textWe consider the nonlinear convex energy forms epsilon(K )((P)) on the infinite K- curve and we prove that the corresponding domains F-K ((p)) coincide with the spaces Lip(delta,df)(p, infinity, K-), where delta = log 3/log 4
Regularity results for p-Laplacians in pre-fractal domains
No full textWe study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal Koch Islands
Asymptotics for quasilinear obstacle problems in bad domains
No full textWe study two obstacle problems involving the p-Laplace operator in domains with n-th pre-fractal and fractal boundary. We perform asymptotic analysis for and
Sharp trudinger type inequalities for measure-valued lagrangeans
No full textThe aim of the paper is to prove weighted John-Nirenberg and sharp Trudinger type inequalities for measure-valued (α, p)-Lagrangeans
FEM for quasilinear obstacle problems in bad domains
No full textWe study obstacle problems involving the p-Laplace operator in domains with fractal boundary and the corresponding pre-fractals problems. We obtain error estimates for FEM solutions based on smoothness properties
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