Intuitively speaking,boundary pointsin math are defined as those which lie on the edge of the set and are adjacent to the set itself but also to points that are not in the set. On the other hand,interior pointslie within the set and are surrounded only by points that are also inside th...
A characterization from the point of view of the maximum modulus principle is given for harmonic domains, that is, domains for which there is an affirmative answer to the question of the existence of an analytic function on the universal covering surface which is automorphic with respect to the...
The work can match the above results for n=2. The notion of the flatness of a free boundary point was proceed along the line developed by the first author and L. A. Caffarelli [J. Reine Angew. Math. 325, 105-144 (1981; Zbl 0449.35105)]. 展开 ...
In this paper, we study the stationary Stokes and Navier–Stokes equations with non-homogeneous Navier boundary condition in a bounded domain ΩR of class C1,1 from the viewpoint of the behavior of solutions with respect to the friction ... P Acevedo,C Amrouche,C Conca,... - 《Comptes ...
A remark on the global regularity criterion for the 3D Navier–Stokes equations based on end-point Prodi–Serrin conditions By taking full advantage of the regularity of the vertical velocity component, we could be able to show a regularity criterion in terms of the vertical vel... Z Zhang,J...
In (Comm. Math. Phys. 188 (1997) 121–133) Herzlich proved a new positive mass theorem for Riemannian 3-manifolds (,) whose mean curvature of the boundary allows some positivity. In this paper we study what happens to the limit case of the theorem when, at a point of the boundary, ...
Two-Point Boundary Value Problems for Essentially Singular Nonlinear Second-Order Differential Equations Article 01 June 2019 References E. Lieb and M. Loss, Analysis [Russian translation], Nauchnaya kniga, Novosibirsk (1998). MATH Google Scholar M. N. Yakovlev, “Solvability of nonlinear equati...
and the problem of the Green's functions sign for some two-point boundary problems. The optimal sufficient conditions of the disconjugacy and necessary and... F Barański,J Musiałek - 《Opuscula Math》 被引量: 0发表: 1985年 GREEN'S FUNCTIONS AND BOUNDARY VALUE PROBLEMS FOR SOME CLASS OF...
This revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. Like its predecessors, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the...
continuous linear maps associated with additive set-valued maps with values in the set of all closed bounded convex non-empty subsets of any Banach space, which are generalizations of integral representations for harmonic functions proved by Leng, Xu and Zhao (Comput. Math. Appl. 66:1-18,2013...