Picone-type identity and comparison results for a class of partial differential equations of order 4m

• Autorzy: Jaros J.
• Języki publikacji: EN

Abstrakty

EN

In the paper, a Picone-type identity for the weighted p-polyharmonic operator is established and comparison theorems and other qualitative results for a class of half-linear partial differential equations of the 4mth order based on this identity are derived.

Słowa kluczowe

EN

p-polyharmonic operator; Picone's identity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 4
• Strony: 701--711
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Jaros J.

• Comenius University Faculty of Mathematics, Physics and Informatics Department of Mathematical Analysis and Numerical Mathematics 842 48 Bratislava, Slovakia

Bibliografia

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• [5] J. Jaroš, Picone’s identity for the p-biharmonic operators with applications, Electron. J. Differential Equations 2011 (2011) 122, 1–6.
• [6] T. Kusano, N. Yoshida, Picone’s identity for ordinary differential operators of even order, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975), 524–530.
• [7] V.F. Lubyshev, Multiple solutions of an even-order nonlinear problem with convex-concave nonlinearity, Nonlinear Anal. 74 (2011), 1345–1354.
• [8] T. Tanigawa, N. Yoshida, Picone identities for ordinary differential equations of fourth order, Math. J. Toyama Univ. 27 (2004), 91–99.
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• [10] N. Yoshida, Oscillation Theory of Partial Differential Equations, World Scientific, Singapore, Hackensack, London, 2008.