Oscillation of nonlinear elliptic inequalities with p(x)-Laplacian

DOI10.1080/17476933.2012.686493zbMath1270.35026OpenAlexW2100300315MaRDI QIDQ4929155

Y. Şahiner, Ağacık Zafer

Publication date: 13 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.686493

zbMATH Keywords

oscillatory solutionRiccati inequalityhalf-linear and super-half-linear

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Picone identity for quasilinear elliptic equations with \(p(x)\)-Laplacians and Sturmian comparison theory ⋮ Asymptotic behavior of solutions to differential equations with p(t)-Laplacian ⋮ Oscillation constants for Euler type differential equations involving the \(p(t)\)-Laplacian ⋮ Asymptotic properties for solutions of differential equations with singular \(p(t)\)-Laplacian ⋮ Unnamed Item ⋮ Power comparison theorems for oscillation problems for second order differential equations with \(p(t)\)-Laplacian ⋮ A Picone's identity for the p(x)-Laplace equations and its applications ⋮ Singular solutions of nonlinear differential equations with \(p(t)\)-Laplacian

Cites Work

• Oscillation criteria for half-linear elliptic inequalities with \(p(x)\)-Laplacians via Riccati method
• Existence of radial solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Existence of solution for a degenerate \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
• Overview of differential equations with non-standard growth
• Infinitely many solutions for a \(p(x)\)-Laplacian equation in \(\mathbb R^N\)
• Integral averages and oscillation criteria for half-linear partial differential equation.
• 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
• Slowly oscillating solutions for differential equations with strictly monotone operator
• Ordinary differential equations in the oscillation theory of partial half-linear differential equation
• Oscillation theorems for quasilinear elliptic differential equations
• Form estimates for the 𝑝(𝑥)-Laplacean
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Oscillation criteria of Nehari-type for Sturm–Liouville operators and elliptic differential operators of second order and the lower spectrum
• Elliptic Partial Differential Equations of Second Order
• Oscillation of Semilinear Elliptic Inequalities by Riccati Transformations
• Nonexistence of positive solutions of PDE's with \(p\)-Laplacian

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