Forced oscillation criteria for superlinear-sublinear elliptic equations via Picone-type inequality

DOI10.1016/j.jmaa.2009.10.008zbMath1181.35125OpenAlexW1986919984MaRDI QIDQ1046524

Norio Yoshida

Publication date: 22 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.008

zbMATH Keywords

elliptic equationsforced oscillationPicone-type inequalitysuperlinear-sublinear

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Quasilinear elliptic equations (35J62) Methods of ordinary differential equations applied to PDEs (35A24) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Variational approaches to characterize weak solutions for some problems of mathematical physics equations ⋮ Forced oscillations of half-linear elliptic equations via Picone-type inequality ⋮ Simultaneous approximation of Birkhoff interpolation and the associated sharp inequalities ⋮ Annulus criteria for mixed nonlinear elliptic differential equations ⋮ Sturm comparison theorems for some elliptic type equations with damping and external forcing terms

Cites Work

• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications
• Localized radial solutions for a nonlinear p-Laplacian equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math>
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Oscillation criteria for second-order nonlinear differential equations with integrable coefficient
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