Results 21 to 30 of about 22,885,588 (357)

Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings [PDF]

, 2016
A bstractWe consider Dotsenko-Fateev matrix models associated with compactified Calabi-Yau threefolds. They can be constructed with the help of explicit expressions for refined topological vertex, i.e.
A. Mironov, A. Morozov, A. Morozov, Y. Zenkevich, Y. Zenkevich   +4 more
semanticscholar   +1 more source

Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations

Advances in Nonlinear Analysis, 2017
The core of this paper concerns the existence (via regularity) of weak solutions in W01,2${W_{0}^{1,2}}$ of a class of elliptic systems such ...
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Spectral characteristics of a nonlocal problem for two linear systems of partial differential equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
doaj   +1 more source

On Coron's problem for weakly coupled elliptic systems [PDF]

, 2016
We consider the following critical weakly coupled elliptic system −Δui=μi|ui|2∗−2ui+∑j≠iβij|uj|2∗2|ui|2∗−42uiinΩεui=0on∂Ωε,i=1,⋯,m,in a domain Ωε⊂RN , N=3,4 , with small shrinking holes as the parameter ε→0 .
A. Pistoia, Nicola Soave
semanticscholar   +1 more source

Preconditioning for Regular Elliptic Systems [PDF]

SIAM Journal on Numerical Analysis, 1999
The authors examine preconditioning operators for regular elliptic systems of partial differential operators. They obtain general conditions under which the preconditioned systems are bounded. Some useful guidelines for choosing left and right preconditioning operators for regular elliptic systems also are provided.
Chen, Hsing-Hsia, Strikwerda, John C.
openaire   +1 more source

Degenerate Elliptic Systems

Rocky Mountain Journal of Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Elliptic Root System and Elliptic Artin Group

Publications of the Research Institute for Mathematical Sciences, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance

Boundary Value Problems, 2017
Multiple solutions for a class of superquadratic elliptic systems near resonance with high eigenvalues are obtained by using the nabla theorem due to Marino and Saccon in (Topol. Methods Nonlinear Anal. 17:213-237, 2001) and the linking theorem.
Ying Lv, Zeng-Qi Ou, Chun Li
doaj   +1 more source

Nonvariational elliptic systems

Discrete & Continuous Dynamical Systems - A, 2002
The authors deal with a comprehensive treatment of large classes of sublinear and superlinear elliptic systems, that is \[ \begin{cases} -\Delta u=f(u,v),\;-\Delta v=g(u,v) &\text{in }\Omega,\\ u=v=0 &\text{on }\partial\Omega, \end{cases} \] where \(\Omega\subset\mathbb R^N\), \(N\geq 3\), is a smooth bounded domain.
Alves, Claudianor O., de Figueiredo, Djairo G.   +1 more
openaire   +1 more source

Convergence rates and Hölder estimates in almost-periodic homogenization of elliptic systems [PDF]

, 2014
For a family of second-order elliptic systems in divergence form with rapidly oscillating almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients.
Zhongwei Shen
semanticscholar   +1 more source