The Picone identity for a class of partial differential equations

Ondřej Došlý

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Forced oscillations of half-linear elliptic equations via Picone-type inequality.

Yoshida, Norio (2010)

International Journal of Differential Equations

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Asymptotic estimates for PDE with $p$ -Laplacian and damping.

Mařík, Robert (2005)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Picone’s identity for a Finsler $p$ -Laplacian and comparison of nonlinear elliptic equations

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 $H$ in $ℝ^{n}$ which is continuously differentiable for $x \neq 0$ and such that $H^{p}$ is strictly convex for some $p > 1$ . Two important special cases are the $p$ -Laplacian and the so-called pseudo $p$ -Laplacian. The identity is then used to establish a variety of comparison results concerning nonlinear degenerate elliptic equations which involve such operators. We...

Qualitative theory of half-linear second order differential equations

Ondřej Došlý (2002)

Mathematica Bohemica

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Some recent results concerning properties of solutions of the half-linear second order differential equation ${(r (t) Φ (x^{'}))}^{'} + c (t) Φ (x) = 0, Φ (x) : = {| x |}^{p - 2} x, p > 1, (*)$ are presented. A particular attention is paid to the oscillation theory of $(*)$ . Related problems are also discussed.

Displaying similar documents to “The Picone identity for a class of partial differential equations”

Forced oscillations of half-linear elliptic equations via Picone-type inequality.

Asymptotic estimates for PDE with p -Laplacian and damping.

Picone’s identity for a Finsler p -Laplacian and comparison of nonlinear elliptic equations

Qualitative theory of half-linear second order differential equations

Asymptotic estimates for PDE with $p$ -Laplacian and damping.

Picone’s identity for a Finsler $p$ -Laplacian and comparison of nonlinear elliptic equations