Special Session 80: 

Sign-changing solutions for critical equations with Hardy potential

Giusi Vaira
University of Campania Luigi Vanvitelli
Italy
Co-Author(s):    P. Esposito, N. Ghoussoub, A. Pistoia
Abstract:
We discuss existence issues for a Dirichlet problem in bounded domains with polynomial nonlinearites of critical growth in presence of an Hardy potential. Linear perturbations can produce positive solutions and we aim to construct sign-changing solutions, shaped as a tower of`bubbles centered at zero with alternating signs. The construction is optimal as a very fine asymptotic analysis shows for radial towers of bubbles.