Top-level heading

Multiple solutions to semilinear elliptic problems via flow invariance and topological methods

Categoria
Seminari di Analisi Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker

Tobias WETH UNIVERSITAT GIESSEN

I will discuss some recent results on the existence of multiple solutions to equations of the form −∆u = f(x, u), where the nonlinearity f has subcritical or critical growth. In some cases we find sign changing solutions. The results are obtained by combining variational methods, information on gradient flow invariant sets, and topological tools including Dold’s fixed point transfer.