Results 11 to 20 of about 500 (36)

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

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

On the lower bound of the inner radius of nodal domains

, 2019
We discuss the asymptotic lower bound on the inner radius of nodal domains that arise from Laplacian eigenfunctions \varphi _{\lambda} on a closed Riemannian manifold (M, g) .
Georgiev, B.
core   +1 more source

Heat flow method to Lichnerowicz type equation on closed manifolds

, 2010
In this paper, we establish existence results for positive solutions to the Lichnerowicz equation of the following type in closed manifolds -\Delta u=A(x)u^{-p}-B(x)u^{q},\quad in\quad M, where $p>1, q>0$, and $A(x)>0$, $B(x)\geq0$ are given smooth ...
D.H. Sattinger, E. Hebey, J. Isenberg, L. Ma, Li Ma, O. Druet, Th. Aubin, Xiao Tang, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Du, Yuhua Sun   +11 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

Lichnerowicz-type equations on complete manifolds

Advances in Nonlinear Analysis, 2016
Under appropriate spectral assumptions, we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds.
Albanese Guglielmo, Rigoli Marco
doaj   +1 more source

Lattice calculations on the spectrum of Dirac and Dirac-K\"ahler operators

, 2006
We present a matrix technique to obtain the spectrum and the analytical index of some elliptic operators defined on compact Riemannian manifolds. The method uses matrix representations of the derivative which yield exact values for the derivative of a ...
Campos R. G., Campos R. G., Campos R. G., Friedrich T., Graf W., J. L. LÓPEZ-LÓPEZ, R. VERA, RAFAEL G. CAMPOS, Trautman A.   +8 more
core   +1 more source

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non locally conformally flat manifolds [PDF]

, 2014
Solutions to scalar curvature equations have the property that all possible blow-up points are isolated, at least in low dimensions. This property is commonly used as the first step in the proofs of compactness. We show that this result becomes false for
Robert, Frédéric, Vétois, Jérôme
core   +2 more sources