Nonexistence of positive solutions of PDE's with \(p\)-Laplacian

DOI10.1023/A:1006739909182zbMath1062.35022OpenAlexW1874690390MaRDI QIDQ5933720

Robert Mařík, Ondřej Došlý

Publication date: 22 June 2005

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006739909182

zbMATH Keywords

positive solutionLaplacianoscillatory property

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (20)

Oscillation criteria for second order mixed nonlinear elliptic equations ⋮ Oscillation of damped PDE with \(p\)-Laplacian in unbounded domains ⋮ Oscillation criteria for damped half-linear PDE via the integral operator ⋮ Comparison results for nonlinear equations involving A-harmonic operator ⋮ Oscillation of linear and half-linear differential equations via generalized Riccati technique ⋮ Oscillation and nonoscillation of perturbed nonlinear equations with p‐Laplacian ⋮ Conditional oscillation of half-linear differential equations with coefficients having mean values ⋮ Integral averages and oscillation criteria for half-linear partial differential equation. ⋮ New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions ⋮ Liouville theorems for elliptic problems in variable exponent spaces ⋮ Ordinary differential equations in the oscillation theory of partial half-linear differential equation ⋮ Conversion of algorithms by releasing projection for minimization problems ⋮ Oscillation theorems related to averaging technique for damped PDE with \(p\)-Laplacian ⋮ Singular solutions of nonlinear differential equations with \(p(t)\)-Laplacian ⋮ Oscillation of nonlinear elliptic inequalities with p(x)-Laplacian ⋮ Conjugacy criteria for half-linear ODE in the theory of PDE with generalized \(p\)-Laplacian and mixed powers ⋮ Oscillation of the half-linear PDE in general exterior domains -- the variational approach ⋮ OSCILLATION CRITERIA FOR CERTAIN DAMPED PDE'S WITH p-LAPLACIAN ⋮ Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case ⋮ Oscillation criteria for PDE with \(p\)-Laplacian via the Riccati technique

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