study area is located in the central kopehdagh north of bojnurd and shirvan cities, between kakli and raz villages. aim of this research is separating high activity area from low activity. in this study, in order to evaluate rate of tectonic activity, stream length-gradient index (sl), ratio of valley floor width to valley height (vf), transverse topographic system (t), hypsometric integral (hi...

The identification of the factors involved in change detection could lead to a comprehensive understanding of real changes and non-real changes on a broad scale, as well as prediction capability. As a huge amount of remotely sensed data is available, most of the applications require the interpretation of images collected over a period. Frequently collected satellite images mostly present strong...

We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.

In this paper, we consider the quasilinear elliptic equation in a smooth bounded domain. By using the method of lower and upper solutions, we study the existence, asymptotic behavior near the boundary and uniqueness of the positive blow-up solutions for quasilinear elliptic equation with nonlinear gradient term.

Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadratic dissipation potentials. This paper describes two natural origins for these structures. A first microscopic origin of generalized gradient structures is given by the theory of large-deviation principles. While Mark...

We study fully nonlinear partial differential equations of Monge-Ampère type involving the derivates with respect to a family X of vector fields. The main result is a comparison principle among viscosity subsolutions, convex with respect to X , and viscosity supersolutions (in a weaker sense than usual), which implies the uniqueness of solution to the Dirichlet problem. Its assumptions include ...

The fully analytic energy gradient has been developed and implemented for the restricted open-shell Hartree-Fock (ROHF) method based on the fragment molecular orbital (FMO) theory for systems that have multiple open-shell molecules. The accuracy of the analytic ROHF energy gradient is compared with the corresponding numerical gradient, illustrating the accuracy of the analytic gradient. The ROH...

We study the solvability in the whole Euclidean space of coercive quasi-linear and fully nonlinear elliptic equations modeled on ∆u±g(|∇u|) = f(u), u ≥ 0, where f and g are increasing continuous functions. We give conditions on f and g which guarantee the availability or the absence of positive solutions of such equations in R . Our results considerably improve the existing ones and are sharp o...