We construct an example of a smooth map C to C2 which vanishes to infinite order at the origin, and such that the ratio of the norm of the z-bar derivative to the norm of the z derivative also vanishes to infinite order. This gives a counterexample to strong unique continuation for a vector valued analogue of the Beltrami equation
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
This is a companion note to our paper 'A relative Szemerédi theorem', elaborating on a concluding re...
AbstractHölder regularity up to the boundary of the solutions to the Dirichlet problem for second or...
AbstractLet U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+...
Let C be the unit circle {z: |z| = 1} and Qn(z) bean arbitrary C-polynomial (i. e., all its zeros z1...
AbstractThe second order of accuracy difference scheme for the approximate solutions of the nonlocal...
AbstractWe obtained the spatial growth and decay estimates for solutions of a class of quasilinear e...
AbstractIn this paper, we discuss a subclass Vk(β,b,δ) of analytic functions, which was introduced a...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
AbstractIn this paper, we give a set of sufficient conditions for the normalized form of the general...
AbstractIn this paper we prove a unique continuation property for vector valued functions of one var...
AbstractWe investigate the analyticity of solutions to semilinear elliptic equations degenerated on ...
This is a companion note to our paper 'A relative Szemerédi theorem', elaborating on a concluding re...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
AbstractLet (X,‖⋅‖) be a reflexive Banach space with Kadec–Klee norm. Let f:X→(−∞,+∞] be a function ...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
This is a companion note to our paper 'A relative Szemerédi theorem', elaborating on a concluding re...
AbstractHölder regularity up to the boundary of the solutions to the Dirichlet problem for second or...
AbstractLet U(λ) denote the class of all analytic functions f in the unit disk Δ of the form f(z)=z+...
Let C be the unit circle {z: |z| = 1} and Qn(z) bean arbitrary C-polynomial (i. e., all its zeros z1...
AbstractThe second order of accuracy difference scheme for the approximate solutions of the nonlocal...
AbstractWe obtained the spatial growth and decay estimates for solutions of a class of quasilinear e...
AbstractIn this paper, we discuss a subclass Vk(β,b,δ) of analytic functions, which was introduced a...
AbstractA condition for starlikeness will be improved given by the inequality Re(f′(x)+αzf″(z))>0, z...
AbstractIn this paper, we give a set of sufficient conditions for the normalized form of the general...
AbstractIn this paper we prove a unique continuation property for vector valued functions of one var...
AbstractWe investigate the analyticity of solutions to semilinear elliptic equations degenerated on ...
This is a companion note to our paper 'A relative Szemerédi theorem', elaborating on a concluding re...
AbstractThis paper details an existence and uniqueness theorem for solving an operator equation of t...
AbstractLet (X,‖⋅‖) be a reflexive Banach space with Kadec–Klee norm. Let f:X→(−∞,+∞] be a function ...
Let $f$ be a measurable function defined on $\mathbb{R}$. For each $n\in\mathbb{Z}$ define the opera...
This is a companion note to our paper 'A relative Szemerédi theorem', elaborating on a concluding re...
AbstractHölder regularity up to the boundary of the solutions to the Dirichlet problem for second or...