2 citations · 3 across the 10 of their papers we have counts for
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A Nehari manifold method for nonvariational problems
Radu Precup, Andrei Stan
The aim of this paper is to extend the Nehari manifold method from the variational setting to the nonvariational framework of fixed point equations. This is achieved by constructin…
Critical point localization and multiplicity results in Banach spaces via Nehari manifold technique
Radu Precup, Andrei Stan
In the paper, results on the existence of critical points in annular subsets of a cone are obtained with the additional goal of obtaining multiplicity results. Compared to other ap…
Localization of critical points in annular conical sets via the method of Nehari manifold
Andrei Stan
Using the Nehari manifold method, we establish sufficient conditions such that a smooth functional attains a ground state within an annular domain of a closed cone. The localizatio…
On equilibrium in control problems with applications to evolution systems
Radu Precup, Andrei Stan
In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a proportionality final condition. Related observability and semi-obser…
A mutual control problem for semilinear system via fixed point approach
Radu Precup, Andrei Stan
In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a vector fixed-point approach based on the fixed-point theorems of Perov, Sc…
Role of partial functionals in the study of variational systems
Andrei Stan
Applying techniques originally developed for systems lacking a variational structure, we establish conditions for the existence of solutions in systems that possess this property b…