Search
Search Results
-
Integral Representations for Second-Order Elliptic Systems in the Plane
AbstractA fundamental solution matrix for elliptic systems of the second order with constant leading coefficients is constructed. It is used to...
-
Generalized Poisson Formula for Second Order Elliptic Systems
In the unit disc, we consider the Dirichlet problem for second order elliptic system with only higher order constant coefficients. We establish the...
-
Higher Order Elliptic Equations in Generalized Morrey Spaces
We study the generalized Morrey regularity of the strong solutions to higher-order uniformly elliptic equations with VMO principal coefficients.
-
Elliptic Problems and Integral Equations in Spaces of Different Smoothness in Different Variables
AbstractWe consider a model elliptic pseudodifferential equation and the simplest boundary value problems in a quadrant in a Sobolev–Slobodetsky...
-
The equidistribution of elliptic Dedekind sums and generalized Selberg–Kloosterman sums
We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on...
-
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation
This research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition...
-
On the generalized weak Harnack inequality for non-negative super-solutions of quasilinear elliptic equations with absorption term
We prove the generalized weak Harnack inequality for non-negative super-solutions to quasi- linear elliptic equations with the generalized Orlicz...
-
Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian
A generalized boundary integral equation method for boundary value problems of two-dimensional isotropic lattice Laplacian is proposed in this paper....
-
On the Solvability of the Generalized Neumann Problem for a Higher-Order Elliptic Equation in an Infinite Domain
We consider the generalized Neumann problem for a 2 l th-order elliptic equation with constant real higher-order coefficients in an infinite domain...
-
Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain
AbstractWe study the well-posedness of some analogs of the nonlocal Samarskii–Ionkin problem for second-order elliptic equations in Sobolev spaces....
-
Singular Integral Operators with a Generalized Cauchy Kernel
AbstractSingular integral operators with piecewise continuous matrix coefficients are considered on a piecewise smooth curve in weighted Lebesgue...
-
The tangential k-Cauchy–Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group
The tangential k -Cauchy–Fueter operator and k -CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the...
-
On the Parshin–Arakelov theorem and integral sections on elliptic surfaces
It is well-known that the Parshin–Arakelov theorem implies the Mordell conjecture over complex function fields by a covering construction of Parshin....
-
Smoothness of Generalized Solutions of the Second and Third Boundary-Value Problems for Strongly Elliptic Differential-Difference Equations
In this paper, we investigate qualitative properties of solutions of boundary-value problems for strongly elliptic differential-difference equations.
E...