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We study birational invariants of toric orbifold surfaces.
In this article, we define a graded trinil clean ring graded by a group. The behavior of the property of being trinil clean is studied in ring constructions of graded group rings, graded matrix rings, and trivial ring extensions. Some sufficient conditions for these rings to be graded trinil...
We study the existence of solutions having singular limits for some four-dimensional semilinear elliptic problems involving exponential nonlinearity with nonlinear terms with Navier boundary condition. We use the nonlinear domain decomposition method.
In this article, we consider the one-dimensional system of piezoelectric beams with a nonlinear damping term. First, we show the existence and uniqueness of solutions by the semi-group technique more precisely by Hille-Yosida theorem. And by building an appropriate Lyapunov functional, we...
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