Forced oscillations of half-linear elliptic equations via Picone-type inequality.
Yoshida, Norio (2010)
International Journal of Differential Equations
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Yoshida, Norio (2010)
International Journal of Differential Equations
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Mařík, Robert (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Jaroslav Jaroš (2014)
Mathematica Bohemica
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In the paper we present an identity of the Picone type for a class of nonlinear differential operators of the second order involving an arbitrary norm in which is continuously differentiable for and such that is strictly convex for some . Two important special cases are the -Laplacian and the so-called pseudo -Laplacian. The identity is then used to establish a variety of comparison results concerning nonlinear degenerate elliptic equations which involve such operators. We...
Ondřej Došlý (2002)
Mathematica Bohemica
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Some recent results concerning properties of solutions of the half-linear second order differential equation are presented. A particular attention is paid to the oscillation theory of . Related problems are also discussed.