Existence Theorems for a Multidimensional Crystal Surface Model

Existence Theorems in Multidimensional Problems of Optimization with Distributed and Boundary Controls

Optimization of Crystal Violet Adsorption by Chemically Modified Potato Starch Using Response Surface Methodology

In this research, a response surface methodology (RSM) was used to investigate the effects of independent parameters (pH, contact time, temperature, adsorbent dosage, and initial concentration of pollutant), their simultaneous interactions, and quadratic effects on crystal violet adsorption onto two starch based materials in the form of batch experiments. The characterizing results indicated th...

Are There Four-Dimensional Small Black Rings?

In d > 4 dimensions, one can argue for the existence of small black rings using a scaling argument. We apply the same scaling argument to the d = 4 case and demonstrate that it fails to say anything about the existence of d = 4 small black rings, because stringy corrections get out of control. General relativity theorems say that there does not exist a black hole with toroidal topology for d = ...

Existence of at least three weak solutions for a quasilinear elliptic system

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of R...

Multidimensional Lagrange Problems of Optimization in a Fixed Domain and an Application to a Problem of Magnetohydrodynamics

In previous papers [3-5] we have given existence theorems for solutions in Sobolev spaces of multidimensional Lagrange problems of optimization in a fixed domain, bounded or unbounded. In the present paper we shall apply the previous results to the case where the partial differential equations are written in canonic form. The canonic form which we take into consideration is the one proposed by ...