Justino Sanchez, Vicente Vergara
Abstract:
We study the exact number of solutions of the quasilinear Neumann
boundary-value problem
where
denotes the one-dimensional
p-Laplacian. Under appropriate hypotheses on g and h,
we obtain existence, multiplicity, exactness and
non existence results. The existence of solutions is
proved using the method of upper and lower solutions.
Submitted September 26, 2013. Published January 27, 2014.
Math Subject Classifications: 34B15, 35J60.
Key Words: Neumann boundary value problem; p-Laplacian;
lower-upper solutions; exact multiplicity.
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Justino Sánchez Departamento de Matemáticas, Universidad de La Serena Avda. Cisternas 1200, La Serena, Chile email: jsanchez@userena.cl | |
Vicente Vergara Instituto de Alta Investigación, Universidad de Tarapacá Antofagasta No. 1520, Arica, Chile email: vvergaraa@uta.cl |
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