Article

Ufa Mathematical Journal
Volume 9, Number 1, pp. 54-61

On coercive properties and separability of the biharmonic operator with matrix potential

Karimov O.Kh.

DOI:10.13108/2017-9-1-54

Article on MathNet

Abstact

In the work we consider the coercive properties of a nonlinear biharmonic operator with a matrix operator in the space $L_2(R^n)^l$ and we prove its separability in this space. The considered nonlinear operators are not small perturbation of linear operators. The case of the linear biharmonic operator is considered separately.