Variational properties of the solutions of singular second-order differential equations and systems
AbstractThis paper is devoted to the existence and variational characterization of the weak solutions of the Dirichlet boundary value problem…
2016
Semilinear evolution systems with nonlinear constraints
AbstractThe purpose of the present paper is to study the existence of solutions to semilinear evolution systems with nonlinear constraints.…
Multiple positive solutions to a fourth order boundary value problem
AbstractWe study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach…
A Schechter type critical point result in annular conical domains of a Banach space and applications
AbstractUsing Ekeland’s variational principle we obtain a critical point theorem of Schechter type for extrema of a functional in an…
Fixed point theorems under combined topological and variational conditions
AbstractThe new idea is to replace part of the conditions on the operator involved in the classical fixed point theorems…
Nash-type equilibria for systems of Szulkin functionals
AbstractIn this paper the solutions of some systems of variational inequalities are obtained as Nash-type equilibria of the corresponding systems…
Variational properties of the solutions of semilinear equations under nonresonance conditions
Abstract The paper deals with weak solutions of the semilinear operator equation \(Au-cu=J^{\prime}\left( u\right))\ in a Hilbert space, where \(A)\…
Abstract method of upper and lower solutions and application to singular boundary value problems
AbstractThe method of upper and lower solutions is presented for the xed point problem associated to operators which are compositions…
Existence, localization and multiplicity of positive solutions to φ-Laplace equations and systems
AbstractAuthorsRadu Precup Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Diana-Raluca Herlea Keywordsϕ-Laplacian; p-Laplacian; boundary value problem; Krasnosel’skiĭ’s fixed point theorem…
Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions
AbstractThe paper presents a vectorial approach for coupled general nonlinear Schrödinger systems with nonlocal Cauchy conditions. Based on fixed-point principles,…