Nonlinear Schrödinger equations via fixed point principles
AbstractThis paper deals with weak solvability of the Cauchy-Dirichlet problem for the perturbed time-dependent Schrödinger equation. We use the operator…
not-at-ICTP
Poincare inequalities in reflexive cones
AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…
Two positive nontrivial solutions for a class of semilinear elliptic variational systems
AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…
Existence results for systems of nonlinear evolution inclusions
AbstractExistence results for semilinear systems of abstract evolution inclusions are established by means of Nadler, Bohnenblust-Karlin and Leray-Schauder fixed point…
Two positive solutions of some singular boundary value problems
AbstractThe existence of two positive solutions for a class of singular boundary value problems is established by means of a…
A mathematical approach to cell dynamics before and after allogeneic bone marrow transplantation
AbstractWe shortly survey our recent contributions for a basic theoretical mathematical understanding of cell dynamics in acute leukemia, before and…
A hypothetical-mathematical model of acute myeloid leukemia pathogenesis
AbstractAcute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding…
Solvability of p,q-Laplacian systems with potential boundary conditions
AbstractExistence results to boundary value problems for non-potential p, q-Laplacian systems with potential boundary conditions are established. The approach relies on Schaefer…
Mathematical models of the leukemic hematopoiesis
AbstractStarting from a classification of acute myeloid leukemias which takes into account the vital characteristics of the leukemic clones, we…
Fourth-order p-Laplacian nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem
AbstractIn this paper, existence results for a fourth-order nonlinear system are obtained. Both classical and vector versions of the Krasnosel’skiĭ’s…