Our aim here is analyze integral and partial differential equations under singular perturbations. We consider boundary value problems with parameters driven by applied areas studying their behavior in order to extract limit problems and convergence. The main parameters that we deal with here are (i) the domain of the solutions (boundary perturbation problems), (ii) nonlinear terms in the equations (nonlinear analysis), and (iii) the coefficients of the problems. (AU)
Articles published in Agência FAPESP Newsletter about the research grant:
PEREIRA, MARCONE C.;
ROSSI, JULIO D.
Nonlocal problems in perforated domains.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
Web of Science Citations: 0.