# Seminario de Ecuaciones Diferenciales – Francisco Odair Vieira de Paiva

#### Detalles de Evento

Título: Generalized Nehari manifold and semilinear Schrödinger equation

Conferenciante: Francisco Odair Vieira de Paiva (Universidade Federal de São Carlos)

Resumen: We study the Schrödinger equation $−∆u + V (x)u = f (x, u)$ in $\mathbb{R}^N$. We assume that $f$ is superlinear but of subcritical growth and $u → f (x, u)/|u|$ is nondecreasing. We also assume that $V$ and $f$ are periodic in $x_1, . . . , x_N$. We show that these equations have a ground state and that there exist infinitely many solutions if $f$ is odd in $u$.

20 de octubre de 2016, 13:00, Seminario de Matemáticas de la 1ª planta, Facultad de Ciencias

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