∥ Q C x − Q C y ∥ 2 ≤ 〈 x − y, J ( Q C x − Q C y ) 〉, ∀ x, y ∈ C. 〈 x − Q C x, J ( y − Q C x ) 〉 ≤ 0, ∀ x ∈ C, y ∈ C ˜. Variational inequality theory has emerged as a great important tool in studying a wide class of unilateral, free, obstacle, moving and equilibrium problems arising in several branches of pure and applied sciences in a unified and general framework.
Thus the class of unilateral repeated microsatellites similar to LCSC1 has an RTE element flanking one side.
Another class of unilateral NMR instrument has been developed by Marble et al. [22, 27].
A Ritz type approach with moveable boundaries, where the coordinates defining the limits of the contact regions are considered as additional variables of the problem, is proposed to solve this class of unilateral contact problems.
In this article, we have proved the existence of solutions of some class of unilateral problems in the Orlicz-Sobolev spaces when the right-hand side is a Radon measure.
It is known that a class of nonsymmetric and odd-order obstacle, unilateral and moving boundary value problems arising in pure and applied sciences can be studied in the unified framework of general variational inequality (1.1), see [3 12] and the references therein.
It is known that a class of nonsymmetric and odd-order obstacle, unilateral, and moving boundary value problems arising in pure and applied can be studied in the unified framework of general variational inequalities (e.g., [2] and the references therein).
In this paper, we establish a unilateral global bifurcation result from interval for a class of periodic p-Laplacian problems with non-differentiable nonlinearity.
We introduce a class of operators, called λ-Hankel operators, as those that satisfy the operator equation S*X−XS=λX, where S is the unilateral forward shift and λ is a complex number.
In this paper, we shall establish the unilateral global bifurcation which bifurcates from the trivial solutions axis or from infinity of a class of nonlinear Sturm Liouville problems with nondifferentiable nonlinearity, respectively.
