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Usted está aquí: Inicio / Actividades / Seminarios / Seminario de Ecuaciones Diferenciales No Lineales (SEDNOL) / Actividades del Seminario de Ecuaciones Diferenciales No Lineales / Multiple solutions to the pure super-critical problem for the \(p\)-Laplacian

Multiple solutions to the pure super-critical problem for the \(p\)-Laplacian

Ponente: Sweta Tiwari
Institución: IM-UNAM
Cuándo 09/04/2015
de 10:00 a 11:00
Dónde Salón de seminarios Graciela Salicrup
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We present some existence and multiplicity results of positive and sign changing
solutions to the problem
\[
  -\Delta_pv=|v|^{q-2}v\text{ in }\Omega,\ v=0\text{ on }\partial\Omega,
\]
in some bounded smooth domain \(\Omega\) in \(\mathbb{R}^N\) , where
\(\Delta_pv:= \mathrm{div}\,(|\nabla v|^{p-2}\nabla v)\) is the
\(p\)-Laplace operator, \(1 < p < N\) and \(q > p^∗ :=
\frac{Np}{N−p}\) is super-critical.

As far as we know, these are the first existence results for the pure
super-critical quasilinear problem.