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The interior transmission problem and bounds on transmission eigenvalues
interior transmission problem bounds transmission eigenvalues
2010/12/14
We study the interior transmission eigenvalue problem for signdefinite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenv...
On the flux problem in the theory of steady Navier-Stokes equations with nonhomogeneous boundary conditions
the theory of steady Navier-Stokes equations nonhomogeneous boundary conditions
2010/12/9
We study the nonhomogeneous boundary value problem for Navier–Stokes equations of steady motion of a viscous incompressible fluid in a two–dimensional bounded multiply connected domain = 1 \ 2,2 X...
A Bernoulli problem with non constant gradient boundary constraint
Bernoulli problem non constant gradient boundary constraint
2010/12/1
We present in this paper a result about existence and convexity of solutions to a free oundary problem of Bernoulli type, with non constant gradient boundary constraint depending on the outer unit nor...
The first boundary value problem for Abreu's equation
Abreu’s equation toric manifolds variational problem
2010/12/3
In this paper we prove the existence and regularity of solutions to the first boundary value problem for Abreu’s equation, which is a fourth order nonlinear partial differential equation closely relat...