We consider a class of equations in divergence form with singular/degenerate weight $$ -\mathrm{div}(|y|^a A(x,y)\nabla u)=|y|^a f(x,y)+\textrm{div}(|y|^aF(x,y))\;. Under suitable regularity assumptions for the matrix $A$, forcing term $f$ and field $F$, we prove H\"older continuity solutions which are odd $y\in\mathbb{R}$, possibly their derivatives. In addition, show stability $C^{0,\alpha}$ ...

A finite element elasticity complex on tetrahedral meshes and the corresponding commutative diagram are devised. The H 1 H^1 </m...

In this paper, we construct, in a unified fashion, lower order finite element subspaces of spaces of symmetric tensors with square-integrable divergence on a domain in any dimension. These subspaces are essentially the symmetric H(div) − Pk (1 ≤ k ≤ n) tensor spaces, enriched, for each n − 1 dimensional simplex, by (n+1)n 2 H(div) − Pn+1 bubble functions when 1 ≤ k ≤ n − 1, and by (n−1)n 2 H(di...

{ For 2 ? 1 n < p < n we prove existence of a distributional solution u of the p-harmonic system ? div(jruj p?2 ru) = in ,

Penelitian ini dilatarbelakangi oleh rendahnya keterampilan berfikir kritis siswa dalam proses pembelajaran di kelas V SDN 008 Langgini. bertujuan untuk mengetahui peningkatan merupakan penelitian tindakan kelas, yang dilaksanakan dua siklus dan setiap terdiri dari kali pertemuan. Adapun subjek adalah 1 orang guru 23 Teknik pengumpulan data dengan menggunakan tekik observasi, tes dokumentasi. S...

The purpose of this note is to establish the following theorem: Let N be a Kahler manifold, L be an oriented immersed minimal Lagrangian submanifold of N without boundary and V be a holomorphic vector field in a neighbourhood of L in N . Let div(V ) be the (complex) divergence of V . Then the integral ∫ L div(V ) = 0. Vice versa suppose that N is Kahler-Einstein with non-zero scalar curvature a...