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Seminario / Gloss

SEMINARIO DI ANALISI NONLINEARE

Il giorno 25 ottobre, alle ore 14, in Aula C del  Dipartimento di Matematica (Via Saldini, 50)

Elisandra Gloss (Universidade Federal da Paraíba-Brasile)
terrà un seminario dal titolo:
"On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms"
Abstract: 
We will talk about existence and nonexistence of nonzero solutions for the following class of quasilinear Schrödinger equations:
Δu+V(x)u+κ2[Δ(u2)]u=h(u),  xRN,-Δu+V(x)u+κ2[Δ(u2)]u=h(u),  x∈RN,
where κκ is a real parameter, N3N≥3V(x)V(x) and h(t)h(t) are continuous functions satisfying additional conditions. In order to prove our existence result we use minimax techniques together with careful LL∞-estimates. Moreover, we show a Pohozaev identity which justifies that 2=2N2∗=2N//(N2)(N-2) is the critical exponent for this class of problems when κκ is positive, in contrast to 22=4N22∗=4N//(N2)(N-2) for κκnegative and it is also used to show nonexistence results.
 
20 ottobre 2017
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