Compression-expansion critical point theory in conical shells
AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…
not-at-ICTP
Theoretical models of hematopoietic cell dynamics related to bone marrow transplantation
AbstractThis review article presents some mathematical models of hematopoietic cell dynamics related to bone marrow transplantation. Both allogeneic and autologous…
A variational analogue of Krasnoselskii’s cone fixed point theory
AbstractBased on Ekeland’s principle, a variational analogue of Krasnoselskii’s cone compression-expansion fixed point theorem is presented. A general scheme of…
Componentwise localization of critical points for functionals defined on product spaces
AbstractA new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are…
Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration
AbstractA complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of…
Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains
AbstractUsing an operator approach, we discuss stationary solutions to Fokker-Planck equations and systems with nonlinear reaction terms. The existence of…
Positive solutions for second-order differential equations of Kirchhoff type on the half-line
AbstractThe aim of the present paper is to study the existence of nontrivial nonnegative solutions for asecond-order boundary value problem…
A unified variational approach to discontinuous differential equations
AbstractA direct variational technique involving Clarke generalized gradient is used to treat general boundary value problems with discontinuous nonlinearities. Based…
Implicit elliptic equations via Krasnoselskii-Schaefer type theorems
AbstractExistence of solutions to the Dirichlet problem for implicit elliptic equations is established by using Krasnoselskii–Schaefer type theorems owed to…
A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators
Abstract In this work, we establish a vector version of fixed point theorem of cone compression and expansion for an…