Localization of energies in Navier–Stokes models with reaction terms
Abstract We analyze a general class of coupled systems of stationary Navier-Stokes type equations with variable coefficients and non-homogeneous terms…
Nonlinear analysis
Localization of Nash-type equilibria for systems with partial variational structure
Abstract In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while…
Perov’s theorem applied to systems of equations
Abstract In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give…
Positive radial solutions for Dirichlet problems in the ball
Abstract We are concerned with existence, localization and multiplicity of positive radial solutions to Dirichlet problems with φ-Laplacians in a ball, in both…
On the iterates of uni- and multidimensional operators
Abstract The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in…
Role of partial functionals in the study of variational systems
Abstract Applying techniques originally developed for systems lacking a variational structure, we establish conditions for the existence of solutions in…
Energy-based localization of positive solutions for stationary Kirchhoff-type equations and systems
Abstract In this paper, we are concerned with positive solutions for the Dirichlet boundary value problem for equations and systems…
Linking Methods for Componentwise Variational Systems
Abstract The paper deals with the equilibrium solutions of two-equation systems in which each component equation has a variational structure.…
Nash equilibria for componentwise variational systems
Abstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems
Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…