In this paper we consider the regular, real-valued solutions of the second-order elliptic partial differential equation. The characterization of generalized growth parameters for entire function solutions for slow growth in terms of approximation errors on more generalized domains, i.e., Caratheodory domains, has been obtained. Moreover, we studied some inequalities concerning the growth parameters of entire function solutions of above equation for slow growth which have not been studied so far
summary:In the paper we consider the growth of entire solution of a nonlinear differential equation ...
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction...
AbstractWe study the convergence rate of an asymptotic expansion for the elliptic and parabolic oper...
summary:Let $D$ be a Carathéodory domain. For $1\leq p\leq \infty $, let $L^p(D)$ be the class of al...
In[1],they are obtained an asymptotic expansion, containing regular boundary corner functions in th...
We establish the global Hölder estimates for solutions to second-order elliptic equations, which va...
We show that entire transcendental functions f satisfying log M(r,f) = o(log 2r), r → ∞ (M(r,f): = m...
AbstractRelations are established between the quantities in the title in form of direct estimates, i...
In this paper we study the continuation of harmonic functions in the ball to the entire harmonic fun...
We investigate the growth of entire positive functions u(x) and their gradients Du in Sobolev space...
AbstractIn this paper, we determine the growth of real-valued solutions of certain second-order alge...
The classic Lp -based estimates for solutions of elliptic partial differential equations satisfying ...
We study the regularity properties of solutions to elliptic equations similar to the p(\ub7)-Laplaci...
Given a homogeneous elliptic partial di®erential operator L of order two with constant complex coe±c...
It is known that, equally well in the unit disc as in the whole complex plane, the growth of the ana...
summary:In the paper we consider the growth of entire solution of a nonlinear differential equation ...
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction...
AbstractWe study the convergence rate of an asymptotic expansion for the elliptic and parabolic oper...
summary:Let $D$ be a Carathéodory domain. For $1\leq p\leq \infty $, let $L^p(D)$ be the class of al...
In[1],they are obtained an asymptotic expansion, containing regular boundary corner functions in th...
We establish the global Hölder estimates for solutions to second-order elliptic equations, which va...
We show that entire transcendental functions f satisfying log M(r,f) = o(log 2r), r → ∞ (M(r,f): = m...
AbstractRelations are established between the quantities in the title in form of direct estimates, i...
In this paper we study the continuation of harmonic functions in the ball to the entire harmonic fun...
We investigate the growth of entire positive functions u(x) and their gradients Du in Sobolev space...
AbstractIn this paper, we determine the growth of real-valued solutions of certain second-order alge...
The classic Lp -based estimates for solutions of elliptic partial differential equations satisfying ...
We study the regularity properties of solutions to elliptic equations similar to the p(\ub7)-Laplaci...
Given a homogeneous elliptic partial di®erential operator L of order two with constant complex coe±c...
It is known that, equally well in the unit disc as in the whole complex plane, the growth of the ana...
summary:In the paper we consider the growth of entire solution of a nonlinear differential equation ...
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction...
AbstractWe study the convergence rate of an asymptotic expansion for the elliptic and parabolic oper...