Positive radial solutions for quasilinear biharmonic equations

DOI10.1016/j.camwa.2016.10.011zbMath1368.35101OpenAlexW2547774775MaRDI QIDQ2012915

Lingju Kong

Publication date: 3 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.10.011

zbMATH Keywords

Schauder's fixed point theorembiharmonic equationsingularpositive radial solution

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Positive solutions to PDEs (35B09) Axially symmetric solutions to PDEs (35B07)

Related Items

A critical \(p\)-biharmonic system with negative exponents

Cites Work

• Unnamed Item
• Estimates of the principal eigenvalue of the \(p\)-biharmonic operator
• Multiplicity of positive radially symmetric solutions for a quasilinear biharmonic equation in the plane
• Weak singularities may help periodic solutions to exist
• On the existence of radial positive entire solutions for polyharmonic systems
• Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in \(\mathbb{R}^3\)
• Positive entire solutions to nonlinear biharmonic equations in the plane
• Multiplicity of radially symmetric solutions for a \(p\)-harmonic equation in \(\mathbb R^N\)
• On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator
• Nonlinear biharmonic equations with negative exponents
• Fourth-order partial differential equations for noise removal
• Existence of three solutions for a class of (p₁,\ldots,p_n)-biharmonic systems with Navier boundary conditions
• A biharmonic equation with singular nonlinearity
• High-Order Total Variation-Based Image Restoration
• Multiple solutions ofp-biharmonic equations with Navier boundary conditions
• Periodic solutions of singular systems without the strong force condition
• Eigenvalues for a fourth order elliptic problem