Quasilinear equations with natural growth terms

Lundi 14 janvier 2013 14:00-15:00 - Igor Verbitsky - University of Missouri

Résumé : Recent results on the existence and regularity of positive solutions, along with pointwise estimates of solutions, will be presented for a class of quasilinear equations of p-Laplace type with natural growth terms and singular or highly oscillatory coefficients. The solutions are understood in a weak sense and can possess low regularity, so that standard PDE techniques are not applicable. Applications to the quadratic form boundedness problem for the Schr"odinger operator, as well as some L^p-analogues will be discussed. This is joint work with Benjamin Jaye and Vladimir Maz’ya.

Lieu : bât. 425 - 113-115

Quasilinear equations with natural growth terms  Version PDF