In this article, classical plate theory (CPT) is reformulated using the nonlocal differential constitutive relations of Eringen to develop an equivalent continuum model for orthotropic triangular nanoplates. The equations of motion are derived and the Galerkin’s approach in conjunction with the area coordinates is used as a basis for the solution. Nonlocal theories are employed to bring out the...

In this paper, we establish the global $C^{2,\alpha}$ and $W^{2,p}$ regularity for Monge-Ampère equation $\mathrm{det}\ D^2u = f$ subject to boundary condition $Du(\Omega) \Omega^\ast$, where $\Omega$ $\Omega^\ast$ are bounded convex domains in Euclidean space $\mathbb{R}^n$ with $C^{1,1}$ boundaries, $f$ is a Hölder continuous function. This value problem arises naturally optimal transportatio...

in this research by taking advantage of degradtion model ina grid system an area of 9222 km in eastern part of tehran province including eslam shahr , rey , varamin , damavand , and firooz kooh were studied . the results show that 43.8 % of the area , due to its natural condition , is not suitable for development. the rest of the area ( 42.5) due to the degradation caused by man's activiti...