Ondrej Dosly, Mathematical Institute, AS CR, Zizkova 22, CZ-616 62 Brno, e-mail: dosly@math.muni.cz
Abstract: The Picone-type identity for the half-linear second order partial differential equation
\sum_{i=1}^n\frac{\partial}{\partial x_i} \Phi\bigg(\frac{\partial u}{\partial x_i}\bigg)+c(x)\Phi(u)=0,\quad\Phi(u):=|u|^{p-2}u, p>1,
is established and some applications of this identity are suggested.
Keywords: Picone's identity, half-linear PDE, $p$-Laplacian, variational technique
Classification (MSC 2000): 35J20
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