Some Elastic Contact Problems for an Elliptical Stamp

Some Optimization Problems for Nonlinear Elastic Membranes

These types of optimization problems have been considered in the literature due to many applications in science and engineering, specially in the linear case p = 2. See for instance [5]. In recent years, models involving the p−Laplacian operator with nonlinear boundary conditions have been used in the theory of quasiregular and quasiconformal mappings in Riemannian manifolds with boundary (see ...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Solvability of Dynamic Contact Problems for Elastic von Kármán Plates

The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.

The Control Variational Method for Elastic Contact Problems∗

We consider a multivalued equation of the form Ay + ∂φ(y) 3 f in a real Hilbert space, where A is a linear operator and ∂φ represents the (Clarke) subdifferential of the function φ. We prove existence and uniqueness results of the solution by using the control variational method. The main idea in this method is to minimize the energy functional associated to the nonlinear equation by arguments ...

Green’s Function for Symmetric Loading of an Elastic Sphere with Application to Contact Problems