Stochastic calculus, estimates for harmonic measure and the theory of Dirichlet forms are used to give sufficient conditions that a set is a removable singularity set for some H p space and for the space D a of analytic functions with bounded Dirichlet integral. For example, a set K situated...
The well known results on the removable singularity of elliptic equations are generalized to the class of degenerating nonlinear elliptic equations. A suff... FI Mamedov,A Harman - 《Nonlinear Analysis》 被引量: 12发表: 2009年 On the Uniqueness Theorem for Nonlinear Singular Partial Differential Eq...
The Journal of Geometric AnalysisJoricke, B.: Boundaries of singularity sets, removable singularities, and CR-invariant subsets of CR-manifolds. J. Geom. Anal. 9, 257-300 (1999)B. Jo¨ricke, Boundaries of singularity sets, removable singularities, and CR-...
Even when tied contact is taken into account and the mesh is coherent at the interface, the calculated stress increases to non-realistic values at the singularity point as it was demonstrated in the bone tissue margin around a dental implant neck (Żmudzki et al. 2008). In a similar ...
We investigate a removable singularity theorem and other some basic properties of a J-holomorphic mapping for strongly pseudo-convex manifolds, which are necessary for constructing the moduli space of J-holomorphic mappings. 关键词: pseudo-convex manifold pseudo-holomorphic DOI: 10.14492/hokmj/13001083...
Given α > 0 and a domain Ω R N, we show that for every finite energy solution u 0 of the equation Δ u + u α = f ( x ) in Ω, the set [ u = 0 ] has Hausdorff dimension at most N 2 + 2 α + 1. The proof is based on a removable singularity property of the Lapla...
A removable singularity is a singular point z_0 of a function f(z) for which it is possible to assign a complex number in such a way that f(z) becomes analytic. A more precise way of defining a removable singularity is as a singularity z_0 of a function