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12 papers · 2 filters
Stability criteria for the 2D -Euler equations
Yuri Latushkin, Shibi Vasudevan
We derive analogues of the classical Rayleigh, Fjortoft and Arnold stability and instability theorems in the context of the 2D -Euler equations.
Spectrum of non-planar traveling waves
Anna Ghazaryan, Yuri Latushkin, Alin Pogan
In this paper we prove that a class of non self-adjoint second order differential operators acting in cylinders have only real discrete s…
Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
Steve Hofmann, Phi Le, Andrew J. Morris
We prove that the Dirichlet problem for degenerate elliptic equations in the upper half-space is solvable when …
Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms
Adisak Seesanea, Igor E. Verbitsky
We obtain necessary and sufficient conditions for the existence of a positive finite energy solution to the inhomogeneous quasilinear elliptic equation \[ -Δ_{p} u = σu^{q} + μ\qua…
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics
Maurizio Verri, Giovanna Guidoboni, Lorena Bociu +1
The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous…
Pointwise estimates of solutions to nonlinear equations for nonlocal operators
Alexander Grigor'yan, Igor Verbitsky
We study pointwise behavior of positive solutions to nonlinear integral equations, and related inequalities, of the type \begin{equation*} u(x) - \int_ΩG(x, y) \, g(u(y)) d σ(y) =…