Geodesic
The Picone identity for a class of partial differential equations
Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 581-589

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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.
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.
DOI : 10.21136/MB.2002.133959
Classification : 35J20, 35J60
Keywords: Picone’s identity; half-linear PDE; $p$-Laplacian; variational technique 
Došlý, Ondřej. The Picone identity for a class of partial differential equations. Mathematica Bohemica, Tome 127 (2002) no. 4, pp. 581-589. doi: 10.21136/MB.2002.133959
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