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…
Nonlinear analysis
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…
Localization of solutions for semilinear problems with poly-Laplace type operators
Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application
Abstract In this paper we obtain nonlinear alternatives of Leray-Schauder and Monch type for nonself vector-valued operators, under hybrid conditions…
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Abstract Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499,…
Inequalities and approximation theory
Abstract The purpose of this paper is twofold. Firstly, we present an equivalence property involving isotonic linear functionals. Secondly, by…
Iterates of some bivariate approximation process via weakly Picard operators
Abstract In the present paper we introduce a general class of positive operators of discrete type acting on the space…