Regularity and a Liouville theorem for a class of boundary-degenerate second order equations

Well-posedness of Boundary Value Problems for a Class of Second Order Degenerate Elliptic Equations

In this paper, we investigate the well-posedness of boundary value problems for a special class of degenerate elliptic equations coming from geometry. Such problems is intimately tied to rigidity problem arising in infinitesimal isometric deformation, The characteristic form of this class of equations is changing its signs in the domain. Therefore the well-posedness of these above problems dese...

On a class of systems of n Neumann two-point boundary value Sturm-Liouville type equations

Employing a three critical points theorem, we prove the existence ofmultiple solutions for a class of Neumann two-point boundary valueSturm-Liouville type equations. Using a local minimum theorem fordifferentiable functionals the existence of at least one non-trivialsolution is also ensured.

The variational iteration method for a class of tenth-order boundary value differential equations

A Liouville type theorem for a class of anisotropic equations

In this paper we are dealing with entire solutions of a general class of anisotropic equations. Under some appropriate conditions on the data, we show that the corresponding equations cannot have non-trivial positive solutions bounded from above.

A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind

In this paper, the system of Fredholm integral equations of the second kind is investigated by using a modified degenerate kernel  method (MDKM). To construct a MDKM the source function is approximated by the same way of producing degenerate kernel. The interpolation is used to make the needed approximations. Lagrange polynomials are adopted for the interpolation. The equivalency of  proposed m...