authors ABDELLAOUI, BOUMEDIENE AGUILAR, JUAN ANTONIO BARRIOS, BEGOÑA COLORADO HERAS, EDUARDO Charro, Fernando GARCÍA AZORERO, JESÚS MEDINA, MARÍA MERCHÁN, SUSANA MONTORO, LUIGI PRIMO, ANA
abstract In this article we present a survey of the Ph.D. theses that have been completed under the advice of Ireneo Peral. Following a chronological order, we summarize the main results contained in the works of the former students of Ireneo Peral.
keywords elliptic and parabolic equations; singular potentials; concave convex problems; caffarelli-kohn-nirenberg inequalities; gradient terms; mixed boundary conditions; nonlinear and nonlocal operators; fully nonlinear equations; linear elliptic-equations; kohn-nirenberg inequalities; perturbed mixed problems; degenerate parabolic equations; nonlocal minimal-surfaces; semilinear heat-equation; boundary-conditions; harnack inequality; fractional laplacian; energy solutions