Results 71 to 80 of about 200 (103)
Neumann Problems and Steiner Symmetrization
Communications in Partial Differential Equations, 2005 ABSTRACT In the present paper we prove some comparison results via Steiner symmetrization for solutions to the Neumann problem where T > 0, Ω is a smooth connected open bounded subset of ℝ n , the coefficients a ij (x, y) and the datum f are smooth functions such that a ij (x, y)ξ i ξ j ≥ |ξ|2, for any (x, y) ∈ G, for any ξ ∈ ℝ n and ∈ t G f dx dy = 0.
Vincenzo Ferone
exaly +4 more sources
Steiner Symmetrization is Continuous in W 1, p
Geometric and Functional Analysis, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Almut Burchard
exaly +3 more sources
Elliptic equations and Steiner symmetrization
Communications on Pure and Applied Mathematics, 1996 Let \(G\) be an open bounded subset of \(\mathbb{R}^N\) and \(u\) a function defined on \(\overline G\). Then the function \(u^*(s)= \sup\{t\geq 0: \mu(t)> s\}\), where \(\mu\) is the distribution function of \(u\), is known as the decreasing rearrangement of \(u\).
A Alvino +2 more
exaly +5 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Continuous Steiner-Symmetrization
Mathematische Nachrichten, 1995Summary: For nonnegative \(L\)-measurable functions \(u:\mathbb{R}^n\to\mathbb{R}\) a continuous homotopy \(u^t\), \(0\leq t\leq+\infty\), is constructed, connecting \(u\) with its Steiner-symmetrization \(u^*\). It is shown that a number of familiar relations between \(u\) and \(u^*\) including some integral inequalities are also valid for \(u\) and \(
Friedemann Brock
exaly +3 more sources
Smoothness of the Steiner symmetrization
Proceedings of the American Mathematical Society, 2017 In the \(n\)-dimensional Euclidean space \(\mathbb{R}^n\), let \(K\) be a compact convex subset, and let \(K_1\) be the Steiner symmetral of \(K\) with respect to the hyperplane \(e_1^{\perp}\), orthogonal to a unit vector \(e_1\in\mathbb{R}^n\). Namely, \(K_1\) is obtained by translating all the chords of \(K\) in direction \(e_1\), so that their ...
Youjiang Lin
openaire +2 more sources
On the topology of the Steiner symmetrization mapping
Journal of Mathematical Sciences, 1996We prove that the Steiner symmetrization mapping on the hyperspace of convex bodies in ℝ2 is soft and homeomorphic to a fibration in the bundle of Q-manifolds over any compact subset in the hyperspace of symmetric nonpolyhedral subsets.
exaly +2 more sources