Results 11 to 20 of about 528 (49)

A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument [PDF]

, 2018
We consider the classical "Serrin symmetry result" for the overdetermined boundary value problem related to the equation $\Delta u=-1$ in a model manifold of non-negative Ricci curvature. Using an extension of the Weinberger classical argument we prove a
Roncoroni, Alberto
core   +4 more sources

Elliptic operators on refined Sobolev scales on vector bundles

Open Mathematics, 2017
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
doaj   +1 more source

Evolution of relative Yamabe constant under Ricci Flow [PDF]

, 2019
Let $W$ be a manifold with boundary $M$ given together with a conformal class $\bar C$ which restricts to a conformal class $C$ on $M$. Then the relative Yamabe constant $Y_{\bar C}(W,M;C)$ is well-defined.
Botvinnik, Boris, Lu, Peng
core   +1 more source

Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds

Advanced Nonlinear Studies, 2018
In this article, we study the existence of solutions for the Dirac ...
Yang Xu
doaj   +1 more source

Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature

Advances in Nonlinear Analysis, 2018
We present a geometric formula of Poincaré type, which is inspired by a classical work of Sternberg and Zumbrun, and we provide a classification result of stable solutions of linear elliptic problems with nonlinear Robin conditions on Riemannian ...
Dipierro Serena, Pinamonti Andrea, Valdinoci Enrico   +2 more
doaj   +1 more source

A priori estimates for Donaldson's equation over compact Hermitian manifolds [PDF]

, 2013
In this paper we prove a priori estimates for Donaldson's equation $\omega\wedge(\chi+\sqrt{-1}\partial\bar{\partial}\varphi)^{n-1}=e^{F}(\chi+\sqrt{-1}\partial\bar{\partial}\varphi)^{n}$ over a compact Hermitian manifold X of complex dimension n, where $
Li, Yi
core   +3 more sources

A characterization of Dirac morphisms [PDF]

, 2008
Relating the Dirac operators on the total space and on the base manifold of a horizontally conformal submersion, we characterize Dirac morphisms, i.e.
A. Moroianu, B. Fuglede, C. Bär, C.G.J. Jacobi, D. Husemoller, E. Loubeau, H. Lawson, J.-M. Bismut, J.-P. Bourguignon, J.F. Glazebrook, P. Baird, R. Slobodeanu, T. Ishihara   +12 more
core   +1 more source

Singular limits solution for 2-dimensional elliptic problems involving exponential nonlinearities with sub-quadratic convection nonlinear gradient terms and singular weights

Advances in Nonlinear Analysis, 2014
Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
doaj   +1 more source

Elliptic operators and their symbols

Demonstratio Mathematica, 2019
We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
doaj   +1 more source

Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations [PDF]

, 2004
It is shown that the non-homogeneous Dirichlet and Neuman problems for the $2^{nd}$-order Seiberg-Witten equation admit a regular solution once the $\mathcal{H}$-condition (described in the article) is satisfied.
Doria, C M
core   +4 more sources