On the Fredholm alternative for the Fučík spectrum.
On the fusion problem for degenerate elliptic equations II
Let be a relatively closed subset of a Euclidean domain . We investigate when solutions to certain elliptic equations on are restrictions of solutions on all of . Specifically, we show that if is not too large, and has a suitable decay rate near , then can be so extended.
On the -convergence of Morrey operators
Following Morrey [14] we associate to any measurable symmetric matrix valued function such that
On the generalized Fourier transforms associated with Schrödinger operators with long-range perturbations.
On the Ginzburg-Landau energy with weight
On the ground states of vector nonlinear Schrödinger equations
On the heat trace of the magnetic Schrödinger operators on the hyperbolic plane.
On the Hénon equation : asymptotic profile of ground states, I
On the Hölder continuity of solutions of second order elliptic equations in two variables
On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order
On the homogenization of some nonlinear problems in perforated domains
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].
On the influence of domain shape on the existence of large solutions of some superlinear problems.
On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes
We consider higher order mixed finite element methods for the incompressible Stokes or Navier-Stokes equations with Qr-elements for the velocity and discontinuous -elements for the pressure where the order r can vary from element to element between 2 and a fixed bound . We prove the inf-sup condition uniformly with respect to the meshwidth h on general quadrilateral and hexahedral meshes with hanging nodes.
On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
By deriving a variant of interpolation inequality, we obtain a sharp criterion for global existence and blow-up of solutions to the inhomogeneous nonlinear Schrödinger equation with harmonic potential We also prove the existence of unstable standing-wave solutions via blow-up under certain conditions on the unbounded inhomogeneity and the power of nonlinearity, as well as the frequency of the wave.
On the initial value problem for a partial differential equation with operator coefficients.
On the interior regularity of weak solutions of degenerate elliptic systems (the case < < )
On the interior smoothness of solutions to second-order elliptic equations.
On the inverse problem of the Sturm-Liouville type for a linear elliptic partial differential equation with constant coefficients of the second order
On the iterative construction of a solution of nonlinear elliptic boundary value problems