A Picone identity for half-linear elliptic equations and its applications to oscillation theory

DOI10.1016/J.NA.2009.03.051zbMath1171.35311OpenAlexW1965123027MaRDI QIDQ838107

Norio Yoshida

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.051

zbMATH Keywords

oscillation\(p\)-LaplacianPicone identitySturmian comparison theoremRiccati inequalityWirtinger inequalityhalf-linear elliptic

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (7)

Picone identity for quasilinear elliptic equations with \(p(x)\)-Laplacians and Sturmian comparison theory ⋮ Oscillation criteria for half-linear elliptic inequalities with \(p(x)\)-Laplacians via Riccati method ⋮ Sturmian comparison theory for half‐linear and nonlinear differential equations via Picone identity ⋮ A Picone's identity for the p(x)-Laplace equations and its applications ⋮ Sturm comparison theorems for some elliptic type equations with damping and external forcing terms ⋮ Picone identities for half-linear elliptic operators with \(p(x)\)-laplacians and applications to Sturmian comparison theory ⋮ Wirtinger integral inequalities for pseudo-integrals and pseudo-additive measure

Cites Work

• Sturmian comparison and oscillation theorems for a class of half-linear elliptic equations
• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• Principal eigenvalues and Sturm comparison via Picone's identity
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• Oscillation criteria of Kamenev-type for PDE with \(p\)-Laplacian.
• Some oscillation theorems for a class of quasilinear elliptic equations
• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Oscillation criteria for PDE with \(p\)-Laplacian via the Riccati technique
• Riccati inequality and oscillation criteria for PDE with \(p\)-Laplacian
• Oscillation theory
• Sturm theorems for degenerate elliptic equations
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• A Picone's identity for the p-Laplacian and applications
• Comparison Theorems for Elliptic Differential Equations
• A Comparison Theorem for Elliptic Differential Equations
• A Strong Comparison Theorem for Selfadjoint Elliptic Equations
• A Genralization of Sturm's Separation Theorem
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