Results 271 to 280 of about 110,790 (301)

Generalization of a first order non-linear complex elliptic systems of partial differential equations in Sobolev space.

Summary: The authors discuss the existence of a general solution of the equation \[ \frac{\partial w}{\partial\overline z} =F\left(z,w,\frac {\partial w}{\partial z}\right) +G(z,w,\overline w) \] in the Sobolev space \(W_{1,p}(D)\) that is a generalization of a first order nonlinear elliptic system \[ \frac{\partial w} {\partial\overline z}=F \left(z,w,
Mamourian, A., Taghizadeh, N.
openaire   +1 more source

A class of quasi-linear Riemann-Hilbert problems for system of first order elliptic equations with general form

A class of quasi-linear Riemann-Hilbert problems for a system of first order elliptic equations with general form are discussed. Under suitable hypotheses and by means of integral operator theories, function theoretic approaches and fixed point theorem, it is proved that the boundary value problems are also solvable in the corresponding functional ...
Li, Mingzhong, Wen, Xiaoqin
openaire   +1 more source

Promoting cancer screening within the patient centered medical home

Ca-A Cancer Journal for Clinicians, 2011
Robert A Smith
exaly  

Elliptic boundary value problems for general systems of equations in complete scales of Banach spaces

It is well known that problems of elasticity theory and hydromechanics lead to the boundary value problems for general elliptic systems in which boundary conditions contain not only the functions \(u_1, \dots, u_k\) that occur in the system, but also contain functions \(u_{k+1}, \dots, u_{k+N}\) defined on the boundary.
openaire   +1 more source

Optimal Control of Systems Governed by Partial Differential Equations

, 1971
J. Lions
semanticscholar   +1 more source

The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case

The author considers a system of differential equations of the form \[ \dot q = \partial H/\partial p, \quad \dot p = -\partial H/\partial q \] where \(H(p, q, t) = \lambda r + c_2r^2 +\cdots+ c_nr^n + \tilde H(p, q, t)\), \(2r = p^2 + q^2\), \(\tilde H = O(r^{n-1})\) and \(H\) is periodic in \(t\), of period \(2\pi\).
openaire   +1 more source

A Strong Maximum Principle for some quasilinear elliptic equations

, 1984
J. Vázquez
semanticscholar   +1 more source

The first surgeon general's report on smoking and health: The 50th anniversary

Ca-A Cancer Journal for Clinicians, 2014
Fadlo R Khuri
exaly  

Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications

, 2016
King-Yeung Lam, Y. Lou
semanticscholar   +1 more source

The Confrontation between General Relativity and Experiment

Living Reviews in Relativity, 2014
Clifford M Will
exaly