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Nonexistence results for elliptic equations with gradient terms

Ponente: Salomón Alarcón
Institución: Universidad Técnica Federico Santa María, Chile
Tipo de Evento: Investigación
Cuándo 12/05/2016
de 10:00 a 11:00
Dónde Salón 2
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We consider the elliptic problem  \(-\Delta u+|\nabla u|^q=\lambda f(u)\) in \(\mathbb{R}^N\setminus B(0,R_0)\), where \(N\geq 2\), \(q>1\), \(f\in C^1(0,+\infty)\) is nondecreasing and positive and \(\lambda > 0\) is a parameter. Under suitable assumptions on \(f\) near zero or infinity, we obtain some nonexistence results for positive supersolutions, depending on the relative values of \(q\) and \(N\), and on the parameter \(\lambda\).